options: Prove and apply trigonometric identities.

Define, evaluate, and compare functions.

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

Model periodic phenomena with trigonometric functions.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

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

Analyze functions using different representations.

Use functions to model relationships between quantities.
problem_activity: Task
Below is a table showing the approximate boiling point of water at different elevations:
| Elevation (meters above sea level) | Boiling Point (degrees Celsius) |
|------------------------------------|---------------------------------|
|                 0                  |               100               |
|                500                 |              98.2               |
|                1000                |              96.5               |
|                1500                |              94.7               |
|                2000                |              93.1               |
|                2500                |              91.3               |
Based on the table,
if we were to model the relationship between the elevation and the boiling point of water, would a linear function be appropriate? Explain why or why not.
Below are some additional values for the boiling point of water at higher elevations:
| Elevation (meters above sea level) | Boiling Point (degrees Celsius) |
|------------------------------------|---------------------------------|
|               5,000                |              83.2               |
|               6,000                |              80.3               |
|               7,000                |              77.2               |
|               8,000                |              74.3               |
|               9,000                |              71.5               |
Based on the table,
if we were to model the relationship between the elevation and the boiling point of water, would a linear function be appropriate? Explain why or why not.
When the information from both tables is combined, would a linear function be appropriate to model this data?  What kind of function would you use to model the data?  Why?


correct_option_index: 7