<PAGE>   1
                                                                     EXHIBIT 4.7


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          BOOK-ENTRY-ONLY COLLATERALIZED MORTGAGE OBLIGATIONS (CMOS) -
             WITHOUT OWNER OPTION TO REDEEM/PASS-THROUGH SECURITIES/
                           AND ASSET-BACKED SECURITIES
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                           Letter of Representations*
                      [to be Completed by Issuer and Agent]


                   Discover Card Master Trust I, Series 200 -
               -----------------------------------------------------
                                [Name of Issuer]


                         U.S. Bank National Association
               -----------------------------------------------------
                                 [Name of Agent]

                                                                         , 200
                                                    ----------------------------
                                                                        [Date]


Attention:  General Counsel's Office
The Depository Trust Company
55 Water Street 49th Floor
New York, NY 10041-0099

         Re:      _______ Class A Credit Card Pass-Through Certificates and
                  _______ Class B Credit Card Pass-Through Certificates,
                  Discover Card Master Trust 1, Series 200  - ________________
                                       [Issue description ("The Securities")]

Ladies and Gentlemen:

         This letter sets forth our understanding with respect to certain
matters relating to the Securities. Agent shall act as trustee, paying agent,
fiscal agent, or other such agent of Issuer with respect to the Securities. The
Securities have been issued pursuant to a trust indenture, trust agreement,
pooling and servicing agreement or other such document authorizing the issuance
of




--------

*    This Letter of Representations includes the Addendum attached hereto, which
     modifies and supercedes this Letter of Representations to the extent set
     forth therein.


<PAGE>   2


the Securities dated October 1, 1993 (the "Document"). Morgan Stanley & Co.
Incorporated; __________________; ___________________; ___________________
________________; _________________________________________________________
["Underwriter/Placement Agent"] is distributing the Securities through The
Depository Trust Company ("DTC").

                  To induce DTC to accept the Securities as eligible for deposit
at DTC, and to act in accordance with its Rules with respect to the Securities,
Issuer and Agent make the following representations to DTC:

                  1. Prior to closing on the Securities on April 4, 2000 there
shall be deposited with DTC one or more Security certificates registered in the
name of DTC's nominee, Cede & Co., for each stated maturity of the Securities in
the face amounts set forth on Schedule A hereto, the total of which represents
100% of the principal amount of such Securities. If however, the aggregate
principal amount of any maturity exceeds $400 million, one certificate shall be
issued with respect to each $400 million of principal amount and an additional
certificate shall be issued with respect to any remaining principal amount. Each
Security certificate shall bear the following legend:

                           Unless this certificate is presented by an authorized
         representative of The Depository Trust Company, a New York corporation
         ("DTC"), to Issuer or its agent for registration of transfer, exchange,
         or payment, and any certificate issued is registered in the name of
         Cede & Co. or in such other name as is requested by an authorized
         representative of DTC (and any payment is made to Cede & Co. or to such
         other entity as is requested by an authorized representative of DTC),
         ANY TRANSFER, PLEDGE, OR OTHER USE HEREOF FOR VALUE OR OTHERWISE BY OR
         TO ANY PERSON IS WRONGFUL inasmuch as the registered owner hereof, Cede
         & Co., has an interest herein.

Issuer represents:

                  The Security certificate(s) shall remain in Agent's custody as
a "Balance Certificate" subject to the provisions of the Balance Certificate
Agreement between Agent and DTC currently in effect.

                  On each day on which Agent is open for business and on which
it receives an instruction originated by a DTC participant ("Participant")
through DTC's Deposit/Withdrawal at Custodian ("DWAC") system to increase the
Participant's account by a specified number of Securities (a "Deposit
Instruction"), Agent shall, no later than 6:30 p.m. (Eastern Time) that day,
either approve or cancel the Deposit Instruction through the DWAC system.

                  On each day on which Agent is open for business and on which
it receives an instruction originated by Participant through the DWAC system to
decrease the Participant's

<PAGE>   3

account by a specified number of Securities (a "Withdrawal Instruction"), Agent
shall, no later than 6:30 pm. (Eastern Time) that day, either approve or cancel
the Withdrawal Instruction through the DWAC system.

                  Agent agrees that its approval of a Deposit or Withdrawal
Instruction shall be deemed to be the receipt by DTC of a new reissued or
reregistered certificated Security on registration of transfer to the name of
Cede & Co. for the quantity of Securities evidenced by the Balance Certificate
after the Deposit or Withdrawal Instruction is effected.

                  2. Issuer: (a) understands that DTC has no Obligation to, and
will not, communicate to its Participants or to any person having an interest in
the Securities any information contained in the Security certificate(s); and (b)
acknowledges that neither DTC's Participants nor any person having an interest
in the Securities shall be deemed to have notice of the provisions of the
Security certificates by virtue of submission of such certificate(s) to DTC.

                  3. In the event of any solicitation of consents from or voting
by holders of the Securities, Issuer or Agent shall establish a record date for
such purposes (with no provision for revocation of consents or votes by
subsequent holders) and shall send notice of such record date to DTC no fewer
than 15 calendar days in advance of such record date. Notices to DTC pursuant to
this Paragraph by telecopy shall be directed to DTC's Reorganization Department,
Proxy Unit at (212) 855-5181 or (212) 855-5182. If the party sending the notice
does not receive a telecopy receipt from DTC confirming that the notice has been
received, such party shall telephone (212) 855-5202. Notices to DTC pursuant to
this Paragraph, by mail or by any other means, shall be sent to:

                          Supervisor, Proxy Unit
                          Reorganization Department
                          The Depository Trust Company
                          55 Water Street 50th Floor
                          New York, NY 10041-0099

                  4. In the event of a full or partial redemption, Issuer or
Agent shall send a notice to DTC specifying: (a) the amount of the redemption or
refunding; (b) in the case of a refunding, the maturity date(s) established
under the refunding; and (c) the date such notice is to be distributed to
Security holders (the "Publication Date"). Such notice shall be sent to DTC by a
secure means (e.g. legible telecopy, registered or certified mail, overnight
delivery) in a timely manner designed to assure that such notice is in DTC's
possession no later than the close of business on the business day before or, if
possible, two business days before the Publication Date. Issuer or Agent shall
forward such notice either in a separate secure transmission for each CUSIP
number or in a secure transmission for multiple CUSIP numbers (if applicable)
which includes a manifest or list of each CUSIP number submitted in that
transmission. (The party sending such notice shall have a method to verify
subsequently the use of such means and the timeliness of such notice). The
Publication Date shall be no fewer than 30 days nor more than 60 days prior to
the redemption date or, in the case of an advance refunding, the date that the
proceeds are deposited in escrow. Notices to DTC pursuant to this Paragraph by
telecopy shall

<PAGE>   4


be directed to DTC's Call Notification Department at (516) 227-4164 or (516)
227-4190. If the party sending the notice does not receive a telecopy receipt
from DTC confirming that the notice has been received, such party shall
telephone (516) 227-4070. Notices to DTC pursuant to this Paragraph, by mail or
by any other means, shall be sent to:

                      Manager, Call Notification Department
                      The Depository Trust Company
                      711 Stewart Avenue
                      Garden City, NY  11530-4719

                  5. In the event of an invitation to tender the Securities
(including mandatory tenders, exchanges, and capital changes), notice by Issuer
or Agent to Security holders shall be sent to DTC specifying the terms of the
tender and the Publication Date of such notice. Such notice shall be sent to DTC
by a secure means (e.g. legible telecopy, registered or certified mail,
overnight delivery) in a timely manner designed to assure that such notice is in
DTC's possession no later than the close of business on the business day before
or, if possible, two business days before the Publication Date. Issuer or Agent
shall forward such notice either in a separate secure transmission for each
CUSIP number or in a secure transmission for multiple CUSIP numbers (if
applicable) which includes a manifest or list of each CUSIP number submitted in
that transmission. (The party sending such notice shall have a method to verify
subsequently the use and timeliness of such notice.) Notices to DTC pursuant to
this Paragraph and notices of other corporate actions by telecopy shall be
directed to DTC's Reorganization Department at (212) 855-5488. If the party
sending the notice does not receive a telecopy receipt from DTC confirming that
the notice has been received, such party shall telephone (212) 855-5290. Notices
to DTC pursuant to this Paragraph, by mail or by any other means, shall be sent
to:

                      Manager, Reorganization Department
                      Reorganization Window
                      The Depository Trust Company
                      55 Water Street 50TH Floor
                      New York, NY  10041-0099

                  6. It is understood that if the Security holders shall at any
time have the right to tender the Securities to Issuer and require that Issuer
repurchase such holders' Securities pursuant to the document and Cede & Co., as
nominee of DTC, or its registered assigns, as the record owner, is entitled to
tender the Securities, such tenders will be effected by means of DTC's Repayment
Option Procedures. Under the Repayment Option Procedures, DTC shall receive,
during the applicable tender period, instructions from its Participants to
tender Securities for purchase. Issuer and Agent agree that such tender for
purchase may be made by DTC by means of a book-entry credit of such Securities
to the account of Agent, provided that such credit is made on or before the
final day of the applicable tender period. DTC agrees that promptly after the
recording of any such book-entry credit, it will provide to Agent an Agent
Receipt and Confirmation or the equivalent, in accordance with the Repayment
Option Procedures, identifying the Securities and the aggregate principal amount
thereof as to which such tender for purchase has been made.

<PAGE>   5

                  Agent shall send DTC notice regarding such optional tender by
hand or by a secure means (e.g., legible facsimile transmission, registered or
certified mail, overnight delivery) in a timely manner designed to assure that
such notice is in DTC's possession no later than the close of business two
business days before the Publication Date. The Publication Date shall be no
fewer than 15 days prior to the expiration date of the applicable tender period.
Such notice shall state whether any partial redemption of the Securities is
scheduled to occur during the applicable optional tender period. Notices to DTC
pursuant to this Paragraph by telecopy shall be directed to DTC's Put Bond Unit
at (212) 855-5235. If the party sending the notice does not receive a telecopy
receipt from DTC confirming that the notice has been received, such party shall
telephone (212) 855-5230. Notices to DTC pursuant to this Paragraph, by mail or
by any other means, shall be sent to:

                          Supervisor, Put Bond Unit
                          Reorganization Window
                          The Depository Trust Company
                          55 Water Street 50TH Floor
                          New York, NY  10041-0099

                  7. All notices and payment advices sent to DTC shall contain
the CUSIP number of the Securities.

                  8. Issuer or Agent shall send DTC written notice with respect
to the dollar amount per $1,000 original face value (or other minimum authorized
denomination if less than $1,000 face value) payable on each payment date
allocated as to the interest and principal portions thereof preferably five, but
no fewer than two, business days prior to such payment date. Such notices, which
shall also contain the current pool factor, any special adjustments to
principal/interest rates (e.g., adjustments due to deferred interest or
shortfall), and Agent contact's name and telephone number, shall be sent by
telecopy to DTC's Dividend Department at (212) 855-4555, and receipt of such
notices shall be confirmed by telephoning (212) 855-4550. Notices to DTC,
pursuant to this Paragraph, by mail or by any other means, shall be sent to:

                          Manager, Announcements
                          Dividend Department
                          The Depository Trust Company
                          55 Water Street 25TH Floor
                          New York, NY  10041-0099

                  9. Issuer represents: The interest accrual period is payment
date to payment date.

                  10. Issuer or Agent shall provide a written notice of interest
payment information, including the stated coupon rate information, to DTC as
soon as the information is available. Issuer or Agent shall provide such notice
directly to DTC electronically, as previously arranged by Issuer or Agent and
DTC. If electronic transmission has not been arranged, absent any other
arrangements between Issuer or Agent and DTC, such information shall be sent by


<PAGE>   6

telecopy to DTC's Dividend Department at (212) 855-4555 or (212) 855-4556. If
the party sending the notice does not receive a telecopy receipt from DTC
confirming that the notice has been received, such party shall telephone (212)
855-4550. Notices to DTC pursuant to this Paragraph, by mail or by any other
means, shall be sent to DTC's Dividend Department as indicated in Paragraph 8.

                  11. Interest payments and principal payments that are part of
periodic principal-and-interest payments shall be received by Cede & Co., as
nominee of DTC, or its registered assigns, in same-day funds no later than 2:30
p.m. (Eastern Time) on each payment date. Issuer shall remit by 1:00 p.m.
(Eastern Time) on the payment date all such interest payments due Agent, or at
such earlier time as may be required by Agent to guarantee that DTC shall
receive payment in same-day funds no later than 2:30 p.m. (Eastern Time) on the
payment date. Absent any other arrangements between Issuer or Agent and DTC,
such funds shall be wired to the Dividend Deposit Account number that will be
stamped on the signature page hereof at the time DTC executes this Letter of
Representations.

                  12. Issuer or Agent shall provide DTC's Dividend Department,
no later than 12:00 noon (Eastern Time) on the payment date, automated
notification of CUSIP-level detail. If the circumstances prevent the funds paid
to DTC from equaling the dollar amount associated with the detail payments by
12:00 noon (Eastern Time), Issuer or Agent must provide CUSIP-level
reconciliation to DTC no later than 2:30 p.m. (Eastern Time). Reconciliation
must be provided by either automated means or written format. Such
reconciliation notice, if sent by telecopy, shall be directed to DTC Dividend
Department at (212) 855-4633 and receipt of such reconciliation notice shall be
confirmed by telephoning (212) 855-4430.

                  13. Maturity and redemption payments allocated with respect to
each CUSIP number shall be received by Cede & Co., as nominee of DTC, or its
registered assigns, in same-day funds no later than 2:30 p.m. (Eastern Time) on
the payment date. Issuer shall remit by 1:00 p.m. (Eastern Time) on the payment
date all such maturity and redemption payments due Agent, or at such earlier
time as required by Agent to guarantee that DTC shall receive payment in
same-day funds no later than 2:30 p.m. (Eastern Time) on the payment date.
Absent any other arrangements between Issuer or Agent and DTC, such funds shall
be wired to the Redemption Deposit Account number that will be stamped on the
signature page hereof at the time DTC executes this Letter of Representations.

                  14. Principal payments (plus accrued interest, if any) as the
result of optional tenders for purchase effected by means of DTC's Repayment
Option Procedures shall be received by Cede & Co., as nominee of DTC, or its
registered assigns, in same-day funds no later than 2:30 p.m. (Eastern Time) on
the payment date. Issuer shall remit by 1:00 p.m. (Eastern Time) on the payment
date all such reorganization payments due Agent, or at such earlier time as
required by Agent to guarantee that DTC shall receive payment in same-day funds
no later than 2:30 p.m. (Eastern Time) on the payment date. Absent any other
arrangements between Issuer or Agent and DTC, such funds shall be wired to the
Reorganization Deposit Account number that will be stamped on the signature page
hereof at the time DTC executes this Letter of Representations.


<PAGE>   7

                  15. Agent shall send DTC all periodic certificate holders
remittance reports with respect to the Securities. If sent by facsimile
transmission, such reports shall be sent to (212) 855-4777. If the party sending
the report does not receive a telecopy receipt from DTC confirming that the
notice has been received, such party shall telephone (212) 855-4590.

                  16. DTC may direct Issuer or Agent to use any other number or
address as the number or address to which notices or payments of interest or
principal may be sent.

                  17. In the event of a redemption, acceleration, or any other
similar transaction (e.g., tender made and accepted in response to Issuer's or
Agent's invitation) necessitating a reduction in the aggregate principal amount
of Securities outstanding or an advance refunding of part of the Securities
outstanding, DTC, in its discretion: (a) may request Issuer or Agent to issue
and authenticate a new Security certificate; or (b) may make an appropriate
notation on the Security certificate indicating the date and amount of such
reduction in principal except in the case of final maturity, in which case the
certificate will be presented to Issuer or Agent prior to payment, if required.

                  18. In the event that Issuer determines that beneficial owners
of Securities shall be able to obtain certificated Securities, Issuer or Agent
shall notify DTC of the availability of certificates. In such event, Issuer or
Agent shall issue, transfer, and exchange certificates in appropriate amounts,
as required by DTC and others.

                  19. DTC may discontinue providing its services as securities
depository with respect to the Securities at any time be giving reasonable
notice to Issuer or Agent (at which time DTC will confirm with Issuer or Agent
the aggregate principal amount of Securities outstanding). Under such
circumstances, at DTC's request Issuer and Agent shall cooperate fully with DTC
by taking appropriate action to make available one or more separate certificates
evidencing Securities to any Participant having Securities credited to its DTC
accounts.

                  20. Nothing herein shall be deemed to require Agent to advance
funds on behalf of Issuer.

                  21. This Letter of Representations may be executed in any
number of counterparts, each of which when so executed shall be deemed to be an
original, but all such counterparts together shall constitute but one and the
same instrument.

                  22. This Letter of Representations shall be governed by, and
construed in accordance with, the laws of the State of New York, without giving
effect to principles of conflicts of law.

                  23. The sender of each notice delivered to DTC pursuant to
this Letter of Representations is responsible for confirming that such notice
was properly received by DTC.

                  24. Issuer recognizes that DTC does not in any way undertake
to, and shall not have any responsibility to, monitor or ascertain the
compliance of any transactions in the Securities with the following, as amended
from time to time: (a) any exemptions from

<PAGE>   8

registration under the Securities Act of 1933; (b) the Investment Company Act of
1940; (c) the Employee Retirement Income Security Act of 1974; (d) the Internal
Revenue Code of 1986; (e) any rules of any self-regulatory organizations (as
defined under the Securities Exchange Act of 1934); or (f) any other local,
state, or federal laws or regulations thereunder.

                  25. Issuer hereby authorizes DTC to provide to Agent listings
of Participants' holdings, known as Securities Position Listings ("SPLs") with
respect to the Securities from time to time at the request of the Agent. DTC
charges a fee for such SPLs. This authorization, unless revoked by Issuer, shall
continue with respect to the Securities while any Securities are on deposit at
DTC, until and unless Agent shall no longer be acting. In such event, Issuer
shall provide DTC with similar evidence, satisfactory to DTC, of the
authorization of any successor thereto so to act. Requests for SPLs shall be
sent by telecopy to the Proxy Unit of DTC's Reorganization Department at (212)
855-5181 or (212) 855-5182. Receipt of such requests shall be confirmed by
telephoning (212) 855-5202. Requests for SPLs, sent by mail or by any other
means, shall be directed to the address indicated in Paragraph 3.

                  26. Issuer and Agent shall comply with the applicable
requirements stated in DTC's Operational Arrangements, as they may be amended
from time to time. DTC's Operational Arrangements are posted on DTC's website at
"www.DTC.org."

                  27. The following riders(s), attached hereto, are hereby
incorporated into this Letter of Representations:

                  (1)      Addendum;

                  (2)      Schedule A




<PAGE>   9



NOTES:

A. IF THERE IS AN AGENT (AS DEFINED IN THIS LETTER OF REPRESENTATIONS), AGENT AS
WELL AS ISSUER MUST SIGN THIS LETTER. IF THERE IS NO AGENT, IN SIGNING THIS
LETTER ISSUER ITSELF UNDERTAKES TO PERFORM ALL OF THE OBLIGATIONS SET FORTH
HEREIN.

B. SCHEDULE B CONTAINS STATEMENTS THAT DTC BELIEVES ACCURATELY DESCRIBE DTC, THE
METHOD OF EFFECTING BOOK-ENTRY TRANSFERS OF SECURITIES DISTRIBUTED THROUGH DTC,
AND CERTAIN RELATED MATTERS.

                                Very truly yours,

                                            GREENWOOD TRUST COMPANY
                                -----------------------------------------------
                                                    [Issuer]

                                By:
                                   --------------------------------------------
                                         [Authorized Officer's Signature]

                                         U.S. BANK NATIONAL ASSOCIATION
                                -----------------------------------------------
                                                     [Agent]

                                By:
                                   --------------------------------------------
                                         [Authorized Officer's Signature]

Received and Accepted:
THE DEPOSITORY TRUST COMPANY

By:
   ------------------------------

Funds should be wired to:
The Chase Manhattan Bank
ABA #021 000 021
For credit to a/c Cede & Co.
c/o The Depository Trust  Company

[Select Appropriate Account.]

Dividend Deposit Account #066-026776
Redemption Deposit Account #066-027306
Reorganization Deposit Account #066-027608

cc:      Underwriter/Placement Agent
         Underwriter's/Placement Agent's Counsel


<PAGE>   10


                                 A D D E N D U M

                                       to
                 Letter of Representations dated ________, 200__
                   Discover Card Master Trust I, Series 200 -

General:         For purposes of this Letter of Representations:

                  "Securities" shall mean the $________ aggregate principal
                  amount of Floating Rate Class A Credit Card Pass-Through
                  Certificates and the $_________ aggregate principal amount of
                  Floating Rate Class B Credit Card Pass-Through Certificates
                  issued by Discover Card Master Trust I, Series 200 - and
                  "Security holders" shall mean the holders of such
                  certificates;

                  "Issuer" shall mean Greenwood Trust Company ("Greenwood") on
                  behalf of Discover Card Master Trust I, Series 200 - ; and

                  "Document" shall mean the Pooling and Servicing Agreement
                  dated as of October 1, 1993, as amended and as supplemented by
                  the Series Supplement dated as of ________, 200_, each by and
                  between Greenwood as Master Servicer, Servicer and Seller and
                  the Agent.

Paragraph 8:      The following is hereby added after the third sentence of
                  Paragraph 8:

                           "Issuer or Agent will forward such notice either in a
                           separate secure transmission for each CUSIP number or
                           in a secure transmission for multiple CUSIP numbers
                           (if applicable) which includes a manifest or list of
                           each CUSIP submitted in that transmission."

Paragraph 16:     The following is hereby inserted after the word "Agent" in
                  line 1 of Paragraph 16:

                           ", and if requested, shall confirm such direction in
                           writing if practicable,"

Paragraph 17:     The following is hereby inserted at the end of Paragraph 17
                  before the period:

                           "provided, however, that this paragraph shall not
                           apply to any event that causes a reduction in the
                           aggregate principal amount of Securities outstanding
                           that occurs in accordance with their terms,
                           including, without limitation, an Amortization Event
                           (as defined in the Document)".

<PAGE>   11


                                   SCHEDULE A

                   DISCOVER CARD MASTER TRUST I, SERIES 200 -

$____________ CLASS A CREDIT CARD PASS-THROUGH CERTIFICATES AND $_____________
CLASS B CREDIT CARD PASS-THROUGH CERTIFICATES


<TABLE>
<CAPTION>
                         Principal Amount     Maturity Date*     Interest Rate
<S>                      <C>                 <C>                 <C>
Class A Certificates
    CUSIP Number


Certificate Number:
         1                 $__________       ___________, 200_
         2                 $__________       ___________, 200_

Class B Certificates
    CUSIP Number


Certificate Number:
         1                 $___________      ___________, 200_
</TABLE>





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* Last Possible Distribution Date