Answered: The total population of Colorado in…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The total population of Colorado in 2010 was 5,029,000. The population has since been growing exponentially at a rate of 1.57% per year. *Round these answers to the nearest whole person

a. Use this information to estimate the population of Colorado now (2021).

b. Use this information to estimate the population of Colorado in 2036.

Expert Solution

Step 1

Let the population of Colorado at time t is P(t), where t = 0 corresponds the year 2010.

The differential equation that represents the population model is:

$\frac{d P}{d t} = r P$ ; where r is the growth rate of the population. According to the given information:

$r = 0.0157$ and $P (0) = 5, 029, 000$

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