Solve the continuous exponential growth problem. 45) The population of a small town is increasing at a continuous growth rate of 3.29 % per year. In 2018 the population was 15,000. a) If t is the number of years since 2018 and f(t) is the population, write a continuous exponential growth function expressing the relationship between f(t) and t. b) Predict the year that the population will double in size.
Solve the continuous exponential growth problem. 45) The population of a small town is increasing at a continuous growth rate of 3.29 % per year. In 2018 the population was 15,000. a) If t is the number of years since 2018 and f(t) is the population, write a continuous exponential growth function expressing the relationship between f(t) and t. b) Predict the year that the population will double in size.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:**Solve the continuous exponential growth problem**
45) The population of a small town is increasing at a continuous growth rate of 3.29% per year. In 2018 the population was 15,000.
a) If \( t \) is the number of years since 2018 and \( f(t) \) is the population, write a continuous exponential growth function expressing the relationship between \( f(t) \) and \( t \).
b) Predict the year that the population will double in size.
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