High School

Suppose you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour, and babysitting pays $5 an hour. You need to earn at least $60 a week.

Create an inequality to represent the situation and solve it to find out how many hours you should work at each job to meet your earnings requirement.

Answer :

The common region to both the graphs represents the solution set of the given inequalities.

What are algebraic expressions?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that you can spend no more than 15 hours a week at your two jobs. Mowing lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.

Assume that you worked {x} hours Mowing lawns and {y} hours babysitting.

We can write the inequalities as -

x + y ≤ 15

3x + 5y ≥ 60

Refer to the graph attached. The common region to both the graphs represents the solution set.

Therefore, the common region to both the graphs represents the solution set of the given inequalities.

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