A population shows growth that is proportional to the number of inhabitants existing at a given time.a) Obtain a function that describes the growth of the population.b) If after 4 years the population is 12,000 inhabitants, what was the initial population?c) What will the population be in 10 years?d) How fast is the population growing at t = 12 years?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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A population shows growth that is proportional to the number of inhabitants existing at a given time.
a) Obtain a function that describes the growth of the population.
b) If after 4 years the population is 12,000 inhabitants, what was the initial population?
c) What will the population be in 10 years?
d) How fast is the population growing at t = 12 years?

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