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F-IF.8.b Warmup M2-024-A03-V04

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

Rewrite an exponential model so the input uses a different time unit

Problem

Rewrite \(R(d)=250(1.04)^d\) using elapsed weeks \(w\) instead of days \(d\). Substitute \(d=7w\), apply \(a^{7w}=(a^7)^w\), and identify the \(\text{one}\text{-}\text{week}\) growth multiplier while preserving the initial value.

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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
Rewrite an exponential model so the input uses a different time unit