Problem preview

A-SSE.3.c Warmup M2-013-A05-V03

Use exponent properties to transform exponential expressions and interpret growth/decay rates.

Interpret percent decay from an exponential model

Problem

Interpret the percent decay in exponential model \(V(t)=12000(0.6)^t\).

Answer choices

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The model shows a 6% decrease per interval because the decimal 0.6 means a decay rate of 6 out of 100 each time.

The model shows a 40% increase per interval because 1-0.6 equals 0.4, and that 0.4 should be written as growth.

The model shows a 60% decrease per interval because the factor 0.6 tells you the value goes down by 60% each time.

The model shows a 40% decrease per interval because 0.6 means 60% of the value remains each time, so 40% is lost.

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Curriculum context

Course: Math II
Standard: A-SSE.3.c
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Use exponent properties to transform exponential expressions and interpret growth/decay rates.
Problem type: Interpret percent decay from an exponential model