A population of a village grows proportion to its current population. The initial population is 10,000 and grows 9% per year. This can be modeled Q5 (а) dP = 0.09 P dt Determine (i) the equation to model the population. (ii) the population after 5 years. (iii) how long it will take the population to double.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A population of a village grows proportion to its current population. The initial
population is 10,000 and grows 9% per year. This can be modeled
Q5 (а)
dP
= 0.09 P
dt
Determine
(i) the equation to model the population.
(ii) the population after 5 years.
(iii) how long it will take the population to double.
Transcribed Image Text:A population of a village grows proportion to its current population. The initial population is 10,000 and grows 9% per year. This can be modeled Q5 (а) dP = 0.09 P dt Determine (i) the equation to model the population. (ii) the population after 5 years. (iii) how long it will take the population to double.
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