options: Build a function that models a relationship between two quantities.

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

Prove and apply trigonometric identities.

Understand the concept of a function and use function notation.

Build new functions from existing functions.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

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

Use functions to model relationships between quantities.

Define, evaluate, and compare functions.
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: 0

5