A department store has two locations in a city. From 2012 through 2016, the profits for each of the store's two branches are modeled by the functions f(x) = -0.44x + 13.62 and g(x) = 0.51x + 11.14. In each model, x represents the number of years after 2012, and f and g represent the profit, in millions of dollars. a. What is the slope of f? Describe what this means. b. What is the slope of g? Describe what this means. c. Find f + g. What is the slope of this function? What does this mean?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CT: Test
Problem 19CT
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A department store has two locations in a city. From 2012
through 2016, the profits for each of the store's two branches
are modeled by the functions f(x) = -0.44x + 13.62 and
g(x) = 0.51x + 11.14. In each model, x represents the
number of years after 2012, and f and g represent the profit,
in millions of dollars.
a. What is the slope of f? Describe what this means.
b. What is the slope of g? Describe what this means.
c. Find f + g. What is the slope of this function? What does
this mean?
Transcribed Image Text:A department store has two locations in a city. From 2012 through 2016, the profits for each of the store's two branches are modeled by the functions f(x) = -0.44x + 13.62 and g(x) = 0.51x + 11.14. In each model, x represents the number of years after 2012, and f and g represent the profit, in millions of dollars. a. What is the slope of f? Describe what this means. b. What is the slope of g? Describe what this means. c. Find f + g. What is the slope of this function? What does this mean?
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