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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
Basketball Rebounds
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?
Basketball Bounces, Assessment Variation 2
Basketball Bounces, Assessment Variation 1
Boiling Water
Choosing an appropriate growth model
Finding Linear and Exponential Models
Solving Problems with Linear and Exponential Models