Problem preview

F-IF.8 Warmup M3-027-A04-V04

Rewrite functions in equivalent forms to reveal and explain useful properties.

Rewrite an exponential function to reveal the growth or decay factor for a different time interval

Problem

Rewrite \(240(0.8)^{3t}\), where \(t\) is in weeks, in the form \(A(b)^t\). State the exact weekly decay factor and its decimal value.

Answer choices

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Rewrite it as 240(0.8)t, so the weekly decay factor is 0.8.

Rewrite it as 240((0.8)³)t, so the weekly decay factor is (0.8)³, which is about 0.512.

Rewrite it as 240(0.8/3)t, so the weekly decay factor is 0.8/3.

Rewrite it as 720(0.8)t, so the weekly decay factor is 0.8.

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Curriculum context

Course: Math III
Standard: F-IF.8
Category: Functions
Domain: Interpreting Functions
Objective: Rewrite functions in equivalent forms to reveal and explain useful properties.
Problem type: Rewrite an exponential function to reveal the growth or decay factor for a different time interval