# HSF-LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

Identifying Functions
In The Billions and Linear Modeling
Interesting Interest Rates
Equal Differences over Equal Intervals 1
Exponential Functions
US Population 1982-1988
U.S. Population 1790-1860
Equal Differences over Equal Intervals 2
Equal Factors over Equal Intervals
Linear Functions
Carbon 14 Dating, Variation 2
In the Billions and Exponential Modeling
Algae Blooms
Illegal Fish
Linear or exponential?
Boiling Water
Choosing an appropriate growth model
Finding Linear and Exponential Models
Solving Problems with Linear and Exponential Models