Population A is 20 thousand at t = 1, where t is in years. It grows by 15% per year. (a) Find a formula for A(t), the population (in thousands) at time t. (b) What is the doubling time? (The doubling time is the time it takes an exponentially growing function to double. It's analogous to the half-life of an exponentially decaying function.)
Population A is 20 thousand at t = 1, where t is in years. It grows by 15% per year. (a) Find a formula for A(t), the population (in thousands) at time t. (b) What is the doubling time? (The doubling time is the time it takes an exponentially growing function to double. It's analogous to the half-life of an exponentially decaying function.)
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
Section4.6: Modeling With Exponential Functions
Problem 22E
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Transcribed Image Text:B Population A is 20 thousand at t = 1, where t is in years. It grows by 15% per year.
(a) Find a formula for A(t), the population (in thousands) at time t.
(b) What is the doubling time? (The doubling time is the time it takes an exponentially growing
function to double. It's analogous to the half-life of an exponentially decaying function.)
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