options: Use functions to model relationships between quantities.

Analyze functions using different representations.

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

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

Prove and apply trigonometric identities.

Build new functions from existing functions.

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

Construct and compare linear and exponential models and solve problems.

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.
problem_activity: Problem 1
Tickets to a concert are available for early access on a special website. The website charges a fixed fee for early access to the tickets, and the tickets to the concert all cost the same amount with no additional tax. A friend of yours purchases 4 tickets on the website for a total of $162. Another friend purchases 7 tickets on the website for $270.
What function represents the total cost,
$$y$$
, for the purchase of
$$x$$
tickets on the website?
Problem 2
Write an equation in slope-intercept form for the line that passes through the points
$${(-2, -3)}$$
and
$${(1, 12)}$$
.


correct_option_index: 0