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.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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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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