Question

Laura has two jobs to help pay for her weekly expenses.

• Laura can work at most 20 hours per week.
She needs to earn at least $120.
• Laura's dog-walking job pays $9.00 per hour.
• Laura washing cars pays $11.00 per hour.
Create the system of inequalities to model Laura's situation where x represents the hours she spends dog-walking
and y represents the hours she spends washing cars.

Answer 1

x*$9.00 + y*$11.00 ≥ $120

x + y ≤ 20 hrs

Explanation:

we have the variables:

x = hours she spends dog-walking

y = hours she spends washing cars.

We know that she wins $9.00 per hour of dog-waling, and she wins $11.00 per hour of washing cars, then the total amount of money she wins per hour is:

x*$9.00 + y*$11.00

And she needs to earn at least $120, then we have the inequality:

x*$9.00 + y*$11.00 ≥ $120

And we also know that she can work, at most, 20 hours per week, then:

x + y ≤ 20 hrs

Then the system of inequalities that represents this situation is:

x*$9.00 + y*$11.00 ≥ $120

x + y ≤ 20 hrs