The population of a certain city was 299000 in 1998, and the observed relative growth rate is 5 percent per year. (a) Find a function that models the population after t years. Your answer is (299000)(1.05)^t (b) Find the projected population in the year 2004. Your answer is 4672 (c) In what year will the population reach 774277? Your answer is 2017

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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How do I solve part b? I know that part a and c are correct but I'm having a hard time trying to figure out what number to plug into t for the exponent. 

The population of a certain city was 299000 in 1998, and the observed relative growth rate is 5 percent per year.
(a) Find a function that models the population after t years.
Your answer is (299000)(1.05)^t
(b) Find the projected population in the year 2004.
Your answer is 4672
(c) In what year will the population reach 774277? Your answer is 2017
Transcribed Image Text:The population of a certain city was 299000 in 1998, and the observed relative growth rate is 5 percent per year. (a) Find a function that models the population after t years. Your answer is (299000)(1.05)^t (b) Find the projected population in the year 2004. Your answer is 4672 (c) In what year will the population reach 774277? Your answer is 2017
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