68. Social Agency A social agency provides emergency food and shelter_to two groups of clients. The first group has x clientswho need an average of $300 for emergencies, and the second group has y clients who need an average of $200 for emergencies. The agency has $100,000 to spend for these two groups. a. Write the equation that gives the number of clients who can be served in each group. b. Find the y-intercept and the slope of the graph of this equation. Interpret each value. c. If 10 clients are added from the first group, what happens to the number served in the second group?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter5: Linear Inequalities
Section5.1: Solving Inequalities By Addition And Subtraction
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A social agency provides emergency food and shelter to two groups of clients. The first group has x clients who need an average of $300 for emergencies, and the second group has y clients who need an average of $200 for emergencies. The agency has $100,000 to spend for these two groups. 
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68. Social Agency A social agency provides emergency
food and shelter_to two groups of clients. The
first group has x clientswho need an average
of $300 for emergencies, and the second group
has y clients who need an average of $200 for
emergencies. The agency has $100,000 to spend for
these two groups.
a. Write the equation that gives the number of clients
who can be served in each group.
b. Find the y-intercept and the slope of the graph of
this equation. Interpret each value.
c. If 10 clients are added from the first group,
what happens to the number served in the second
group?
Transcribed Image Text:68. Social Agency A social agency provides emergency food and shelter_to two groups of clients. The first group has x clientswho need an average of $300 for emergencies, and the second group has y clients who need an average of $200 for emergencies. The agency has $100,000 to spend for these two groups. a. Write the equation that gives the number of clients who can be served in each group. b. Find the y-intercept and the slope of the graph of this equation. Interpret each value. c. If 10 clients are added from the first group, what happens to the number served in the second group?
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