options: Interpret expressions for functions in terms of the situation they model.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Use functions to model relationships between quantities.

Analyze functions using different representations.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

Interpret functions that arise in applications in terms of the context.

Understand the concept of a function and use function notation.
problem_activity: A bakery sells small cakes for
$${ {{$1}}0}$$
each. At this price, the bakery typically sells
$${100}$$
cakes per week.
The owner of the bakery wants to increase the price of the cake in order to maximize revenue. She determines that for each
$${{$1}}$$
increase in price, she sells
$$5$$
fewer cakes per week.
a.  Which function represents the weekly revenue,
$${R(x)}$$
, the owner of the bakery can expect to earn from the cakes based on
$$x$$
increases in price by
$${{$1}}$$
.
i.
$${R(x)}=(10-x)({100}+5x)$$
ii.
$${R(x)}=(10+x)({100}-5x)$$
iii.
$${R(x)}=(10-5x)({100}+x)$$
iv.
$${R(x)}=(10+5x)({100}-x)$$
b.  At what price will the owner of the bakery earn the maximum weekly revenue from sales of the small cakes?


correct_option_index: 4

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