options: Analyze functions using different representations.

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

Define, evaluate, and compare functions.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Build new functions from existing functions.

Interpret functions that arise in applications in terms of the context.
problem_activity: Potassium-40 has a half-life of
$${1.28\times 10^9}$$
years, which means that after that many years, half of a sample has decayed into a different isotope of carbon. If a sample began with
$${115}$$
grams of potassium-40
$${30,000,000}$$
years ago, how much is left today? How long will it be until there are only
$${50}$$
grams remaining?


correct_option_index: 5