Question

Jeanne babysits for $7 per hour. She also works as a tutor for $9 per hour. She is only allowed to work 18 hours per week. She wants to make at least $65. Let x be the hours worked babysitting and let y be the hours worked tutoring. Model the scenario with a system of inequalities. Please show all work. Thanks <3

Answer 1

7x + 9y > = 65
x + y < = 18

Answer 2

Answer:
`x+y\leq18` and
`7x+9y\geq65`

Explanation:

Let x be the hours worked babysitting and let y be the hours worked tutoring.

As Jeanne babysits for $7 per hour. She also works as a tutor for $9 per hour.

Total hours she can work= 18 hours

Thus,
`x+y\leq18`

She wants to make at least $65.

It gives that
`7x+9y\geq65`

Thus, the system of inequalities are written as

`x+y\leq18`

`7x+9y\geq65`