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F-IF.8.b Warmup M2-024-A10-V03

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

Identify the form of \(80(0.5)^{t/4}\) that displays the half-life interval most directly. Explain why increasing \(t\) by \(4\) raises the exponent by \(1\) and multiplies the amount by \(0.5\), then state the interval with its inherited time unit.

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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