Let h(t) be the population (in thousands of people) of Algebra City, as a function the timet (in years), where t = 0 corresponds to the year 2020. In 2020, the population was 20000. Between 2020 and 2030, the population grows by 5000 people per year, but then after 2030 the population declines by 8% per year. (a) Model the population by finding a formula for h(t), using the appropriate choice of a linear, polynomial, power, trigonometric, or exponential function, or a piecewise combination thereof. (b) Evaluate the expression h(6), and write a sentence explaining what this means. (c) Evaluate the expression h(12), and write a sentence explaining what this means.

Let h(t) be the population (in thousands of people) of Algebra City, as a function the timet (in years), where t = 0 corresponds to the year 2020. In 2020, the population was 20000. Between 2020 and 2030, the population grows by 5000 people per year, but then after 2030 the population declines by 8% per year. (a) Model the population by finding a formula for h(t), using the appropriate choice of a linear, polynomial, power, trigonometric, or exponential function, or a piecewise combination thereof. (b) Evaluate the expression h(6), and write a sentence explaining what this means. (c) Evaluate the expression h(12), and write a sentence explaining what this means.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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