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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...
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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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