options: Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.

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

Build a function that models a relationship between two quantities.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Build new functions from existing functions.

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

Construct and compare linear and exponential models and solve problems.

Extend the domain of trigonometric functions using the unit circle.
problem_activity: Task
In a carefully controlled biology lab, a population of 100 bacteria reproduces via binary fission. That is, every hour, on the hour, each bacteria splits into two bacteria. Assuming no bacteria deaths, find an expression for the number $P(t)$ of bacteria in the population after $t$ hours.
In the next lab over, a population of protists reproduces hourly according to multiple fission. The function which gives the population of protists after $t$ hours is $$P(t)=50\cdot 3^t.$$ Interpret the significance of the numbers 50 and 3 in the context of the biological experiment.


correct_option_index: 3

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