A population, P, is increasing exponentially. At time t=0, the population is 35000. In 10 years, the population is 44400. a) Find a in P = k(a)' b) Using the value of a that you calculated, write an equation that models the population, P, after t years. c) Using your equation, find when the population reaches 100 000.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A population, P, is increasing exponentially. At time t=0, the population is
35000. In 10 years, the population is 44400.
a) Find a in P = k(a)'
b) Using the value of a that you calculated, write an equation that models
the population, P, after t years.
c) Using your equation, find when the population reaches 100 000.
Transcribed Image Text:A population, P, is increasing exponentially. At time t=0, the population is 35000. In 10 years, the population is 44400. a) Find a in P = k(a)' b) Using the value of a that you calculated, write an equation that models the population, P, after t years. c) Using your equation, find when the population reaches 100 000.
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