Question

Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how many hours does he need to tutor to make more than $190? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream. Choose the equation and the inequality needed to answer this question.

At least how many hours does Trevor need to tutor to make more than $190? Express your answer as a decimal number.

Answer 1

He needs to tutor x > 7.5

Explanation:

Create two inequalities to represent this situation: one the total number of hours and the other the total amount of money.

Since Trevor works 20 hours or less the inequality must be
`x+y\leq 20`.

Since Trevor receives $12 each x hour he tutors and $8 per y hour he scoops ice cream, the second inequality is his income for the week which must exceed 190. So write 12x+8y > 190.

Graph the two inequalities to see where they intersect and overlap. See the graph attached.