few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Standard options: 
A. Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
B. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.


Your response:
Thought: An initial step when solving for x in this problem requires the use of the addition formula for cosine on the left side of the equation. Solving this problem does not require use of the Pythagorean identity.
Answer: B

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_001894

HS
options: Recognize and represent proportional relationships between quantities.

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
problem_activity: Problem 1
A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours.
a.   Write an equation you can use to determine how long it takes to replace any number of screens.
b.   Write an equation you can use to determine how many screens can be replaced in a certain number of hours.
c.   Use one of your equations to determine how long it would take to replace 30 screens.
d.   Use one of your equations to determine how many screens could be replaced in 12 hours.
Problem 2
A train traveling from Boston to New York moves at a constant speed. The train covers 260 miles in 3.25 hours.
Write an equation that represents this relationship. Explain what your equation tells you about the train.
Problem 3
Deli turkey meat is on sale at two different grocery stores, as represented below.
| **             Stop & Buy            **              $$c=6.25p$$                        , where                         $$c$$                        represents cost in dollars and                         $$p$$                        represents number of pounds of turkey |                        **             Roger's            **                         | **                 Amount                **  **                 (pounds)                ** | **                 Cost                **  **                 ($)                ** | 3 | 19.50 | 4 | 26.00 | 6 | 39.00 | 7 | 45.50 |
|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------|---|-------|---|-------|---|-------|---|-------|
|                                                                                           **                 Amount                **  **                 (pounds)                **                                                                                           | **                 Cost                **  **                 ($)                ** |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       3                                                                                                                                        |                                        19.50                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       4                                                                                                                                        |                                        26.00                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       6                                                                                                                                        |                                        39.00                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       7                                                                                                                                        |                                        45.50                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
What is the unit price of turkey per pound at each store? Which store has the better sale?


correct_option_index: 0