2. Suppose the formula P = P₁(1+r)' gives the population of a city P growing at an annual percent rate r, where Po is the population t years ago. a. Find the time t it takes this population to double. b. Use the structure of the expression to explain why populations with lower growth rates take a longer time to double. C. Use the structure of the expression to explain why the only way to double the population in one year is if there is a 100 percent growth rate

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 13CC
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2. Suppose the formula P = Po(1+r) gives the population of a city P growing at an annual percent rate r, where Po
is the population t years ago.
a. Find the time t it takes this population to double.
b. Use the structure of the expression to explain why populations with lower growth rates take a longer time to
double.
C.
Use the structure of the expression to explain why the only way to double the population in one year is if there
is a 100 percent growth rate.
Transcribed Image Text:2. Suppose the formula P = Po(1+r) gives the population of a city P growing at an annual percent rate r, where Po is the population t years ago. a. Find the time t it takes this population to double. b. Use the structure of the expression to explain why populations with lower growth rates take a longer time to double. C. Use the structure of the expression to explain why the only way to double the population in one year is if there is a 100 percent growth rate.
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