The function f(t)=310(1.025)^{7t}f(t)=310(1.025)^7t represents the change in a quantity over t weeks. What does the constant 1.025 reveal about the rate of change of the quantity?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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The function f(t)=310(1.025)^{7t}f(t)=310(1.025)^7t represents the change in a quantity over t weeks. What does the constant 1.025 reveal about the rate of change of the quantity?

 

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Step 1

Given
f(t)=310(1.025)7t
where f(t) represents the change in a quantity over t weeks.

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