options: Use functions to model relationships between quantities.

Build a function that models a relationship between two quantities.

Analyze functions using different representations.

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

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

Prove and apply trigonometric identities.

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

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

Define, evaluate, and compare functions.
problem_activity: Task
In 1966, a Miami boy smuggled three Giant African Land Snails into the country. His grandmother eventually released them into the garden, and in seven years there were approximately 18,000 of them. The snails are very destructive and had to be eradicated. According to the USDA, it took 10 years and cost \$1 million to eradicate them.
Assuming the snail population grows exponentially, write an expression for the population, $P$, in terms of the number, $t$, of years since their release.
How long does it take for the population to double?
Assuming the cost of eradicating the snails is proportional to the population, how much would it have cost to eradicate them if
they had started the eradication program a year earlier?
they had let the population grow unchecked for another year?


correct_option_index: 5