524 Edith babysits for $$ x $$ hours a week after school at a job that pays $$ \$ 4 $$ an hour. She has accepted a job that pays $$ \$ 8 $$ an hour as a library assistant working y hours a week. She will work both jobs. She is able to work no more than 15 hours a week, due to school commitments. Edith wants to eam at least $$ \$ 80 $$ a week, working a combination of both jobs. Write a system of inequalities that can be used to represent the situation. Graph these inequalities ori the set of axes below.

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Powers Davison · Accepted Answer

The system of inequalities representing Edith's job situation is: $$ \begin{cases} x + y \leq 15 \ 4x + 8y \geq 80 \ x \geq 0 \ y \geq 0 \end{cases} $$ These inequalities ensure that Edith works no more than 15 hours a week, earns at least \$80, and does not work negative hours.

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