Problem

Social Agency A social agency provides emergency food and shelter to two groups of clients...

Social Agency 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.

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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