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F-IF.8.b Warmup M2-024-A10-V02

Use exponent properties to interpret exponential expressions, including percent growth and decay.

Choose the equivalent exponential form that makes the requested feature easiest to read

Problem

Rewrite \(100(1.01)^m\) as a yearly model whose \(\text{one}\text{-}\text{year}\) multiplier is directly visible. Substitute \(m=12y\), regroup the exponent as \(((1.01)^12)^y\), and identify the multiplier applied for each increase of \(1~\text{year}\).

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.8.b
Category
Functions
Domain
Interpreting Functions
Objective
Use exponent properties to interpret exponential expressions, including percent growth and decay.
Problem type
Choose the equivalent exponential form that makes the requested feature easiest to read