1. Find an equation for the function represented in the graph below. Show cach step. f(x) 1500 1200 900 60아 300 The population of a town increases from 15,000 to 40,000 over a 10-year period. The Town Council expects the population to continue to grow and would like a mathematical formula that can be used to predict future population size.

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 43E
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1. Find an equation for the function represented in the graph below. Show each step.
f(x)
1500
1200
900
600
300
The population of a town increases from 15,000 to 40,000 over a 10-year period. The Town Council
expects the population to continue to grow and would like a mathematical formula that can be used to
predict future population size.
2. State the independent and dependent variables.
Independent variable
Dependent variable
3. Construct an exponential model for the town's population growth. Show the appropriate work.
Exponential model
4. Give the yearly growth factor for this town's population, and explain its meaning in context.
Yearly growth factor
Explanation:
5. What does your model predict the town's population to be in the 14th year?
(Round to the nearest whole number.)
Copyright 2018 Pearson Education, Inc.
Transcribed Image Text:1. Find an equation for the function represented in the graph below. Show each step. f(x) 1500 1200 900 600 300 The population of a town increases from 15,000 to 40,000 over a 10-year period. The Town Council expects the population to continue to grow and would like a mathematical formula that can be used to predict future population size. 2. State the independent and dependent variables. Independent variable Dependent variable 3. Construct an exponential model for the town's population growth. Show the appropriate work. Exponential model 4. Give the yearly growth factor for this town's population, and explain its meaning in context. Yearly growth factor Explanation: 5. What does your model predict the town's population to be in the 14th year? (Round to the nearest whole number.) Copyright 2018 Pearson Education, Inc.
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