
Concept explainers
The graph depicts the rise in the number of jail inmates in the United States since 2000. Two linear equations are given: one to describe the number of female inmates and one to describe the number of male inmates by year.
Let y represent the number of inmates (in thousands).
Let x represent the number of years since 2000.
a. What is the slope of the line representing the number of female inmates? Interpret the meaning of the slope in the context of this problem.
b. What is the slope of the line representing the number of male inmates? Interpret the meaning of the slope in the context of this problem.
c. Which group, males or females, has the larger slope? What does this imply about the rise in the number of male and femaleprisoners?
d. Assuming this trend continues, use the equation to predict the number of female inmates in 2015.

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