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 $7x+9y\geq65$

Step-by-step 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

$x+y\leq18$

$7x+9y\geq65$