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Investigation: Comparisons of simple and compound interest

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Outcomes

A1:F-LE.A.1

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

A1:F-LE.A.1a

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

A1:F-LE.A.1b

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

A1:F-LE.A.1c

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

A1:F-LE.A.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

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