The number of citizens of a certain modern city is known to increase at a rate proportional to the number of people currently living in the city. After three years the population has doubled, and after five years the population is 18,000.  a. Find the expression for the number of people living in the city at any time t. b. Compute population after 10 years.

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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The number of citizens of a certain modern city is known to increase at a rate proportional to the number of people currently living in the city. After three years the population has doubled, and after five years the population is 18,000. 

a. Find the expression for the number of people living in the city at any time t. b. Compute population after 10 years.

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