Math

CalculusApplied Calculus for the Managerial, Life, and Social Sciences: A Brief ApproachAGING POPULATION The population of Americans age 55 years and as a percentage of the total population is approximated by the function f ( t ) = 10.72(0.9 t + 10) 0.3 (0 ≤ t ≤ 20) where t is measured in years and t = 0 corresponds to the year 2000 a. Find the rule for f −1 . b. Evaluate f −1 (25) and interpret your result. Source: U.S. Census Bureau.BuyFind*launch*

10th Edition

Soo T. Tan

Publisher: Brooks Cole

ISBN: 9781285464640

Chapter A, Problem 20E

Textbook Problem

**AGING POPULATION** The population of Americans age 55 years and as a percentage of the total population is approximated by the function

*f*(*t*) = 10.72(0.9*t* + 10)^{0.3} (0 ≤ *t* ≤ 20)

where *t* is measured in years and *t* = 0 corresponds to the year 2000

**a.**Find the rule for*f*^{−1}.**b.**Evaluate*f*^{−1}(25) and interpret your result.

*Source:* U.S. Census Bureau.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

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