The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities (in thousands of people) in terms of the number of years z since 2000. Population 100 80 60 40 20 2 4 5 a. The population of City A in 2000 was 50 thousand people and the population increased by 13% each year. The function f determines the population of this city (in thousands of people) in terms of z. i. Write a function formula for f. f(z) = Preview ii. Which graph above represents f? The solid, blue graph. b. The population of City B in 2000 was 50 thousand people and the population increased by 16% each year. The function g determines the population of this city (in thousands of people) in terms of z. i. Write a function formula for g. g(z) = Preview ii. Which graph above represents g? The long-dashed, red graph.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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I need help on how to form functions for parts a, b, and c.

c. The population of City C in 2000 was 50 thousand people and the population increased by 10 thousand people each year. The function h
determines the population of this city (in thousands of people) in terms of x.
i. Write a function formula for h.
h(x) =
Preview
ii. Which graph above represents h?
The short-dashed, green graph.
Transcribed Image Text:c. The population of City C in 2000 was 50 thousand people and the population increased by 10 thousand people each year. The function h determines the population of this city (in thousands of people) in terms of x. i. Write a function formula for h. h(x) = Preview ii. Which graph above represents h? The short-dashed, green graph.
The plot below shows the graphs of three functions, f, 9, and h, all of which determine the population of three different cities (in thousands of
people) in terms of the number of years a since 2000.
Population
100
80
60
40
20
2
3
4
5
a. The population of City A in 2000 was 50 thousand people and the population increased by 13% each year. The function f determines the
population of this city (in thousands of people) in terms of æ.
i. Write a function formula for f.
f(x) =
Preview
ii. Which graph above represents f?
The solid, blue graph.
b. The population of City B in 2000 was 50 thousand people and the population increased by 16% each year. The function g determines the
population of this city (in thousands of people) in terms of æ.
i. Write a function formula for g.
g(x) =
Preview
ii. Which graph above represents g?
The long-dashed, red graph.
Transcribed Image Text:The plot below shows the graphs of three functions, f, 9, and h, all of which determine the population of three different cities (in thousands of people) in terms of the number of years a since 2000. Population 100 80 60 40 20 2 3 4 5 a. The population of City A in 2000 was 50 thousand people and the population increased by 13% each year. The function f determines the population of this city (in thousands of people) in terms of æ. i. Write a function formula for f. f(x) = Preview ii. Which graph above represents f? The solid, blue graph. b. The population of City B in 2000 was 50 thousand people and the population increased by 16% each year. The function g determines the population of this city (in thousands of people) in terms of æ. i. Write a function formula for g. g(x) = Preview ii. Which graph above represents g? The long-dashed, red graph.
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