This exercise uses the population growth model. The population of a certain city was 172,000 in 2014, and the observed doubling time for the population is 18 years. (a) Find an exponential model n(t) = no2ta for the population t years after 2014. n(t) 172000 2 (b) Find an exponential model n(t) = ngert for the population t years after 2014. (Round your r value to four decimal places.) n(t)=172000 0.03851 (c) Sketch a graph of the population at time t. n(t) 800 000 600 000 400 000 200000 n(t) 800 000 600 000 о 400 000 200 000 t 10 20 30 40 t 10 20 30 40 n(t) 800 000 600 000 400 000 200000 n(t) 800 000 600000 400 000 200 000 10 20 10 20 (d) Estimate how long it takes the population to reach 500,000. (Round your answer to two decimal places.) уг

This exercise uses the population growth model. The population of a certain city was 172,000 in 2014, and the observed doubling time for the population is 18 years. (a) Find an exponential model n(t) = no2ta for the population t years after 2014. n(t) 172000 2 (b) Find an exponential model n(t) = ngert for the population t years after 2014. (Round your r value to four decimal places.) n(t)=172000 0.03851 (c) Sketch a graph of the population at time t. n(t) 800 000 600 000 400 000 200000 n(t) 800 000 600 000 о 400 000 200 000 t 10 20 30 40 t 10 20 30 40 n(t) 800 000 600 000 400 000 200000 n(t) 800 000 600000 400 000 200 000 10 20 10 20 (d) Estimate how long it takes the population to reach 500,000. (Round your answer to two decimal places.) уг

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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