Marcus has a job at a fast food restaurant that pays $7 per hour. He also mows lawns for $6 per hour. He wants to earn at least $70 per week, but doesn't want to work more than 15 hours per week. Write a system of inequalities that represents Marcus' situation. A. 7x + 6y 70 x + y ≤ 15 B. 7x + 6y ≤ 70 x + y ≥ 15 C. 7x + 6y 70 x + y

Question

Marcus has a job at a fast food restaurant that pays $7 per hour. He also mows lawns for $6 per hour. He wants to earn at least $70 per week, but doesn't want to work more than 15 hours per week. Write a system of inequalities that represents Marcus' situation.
	A.	7x + 6y > 70 
x + y ≤ 15
	B.	7x + 6y ≤ 70 
x + y ≥ 15
	C.	7x + 6y > 70 
x + y < 15
	D.	7x + 6y ≥ 70 
x + y ≤ 15

anonymous · Answer

He doesnt want to work more than 15 hours so x+y will be less than or equal to 15. This will eliminate B and C.

anonymous · Answer

At one job he gets paid $7 an hour, will set this as 7x
Mowing lawns is $6 an hour, set this as 6x
So we have 7x+6x
He wants to earn AT LEAST $70 per week. Do you know what the inequalities symbol would be?

anonymous · Answer

@studygeek15 it would be D right?

anonymous · Answer

Yup! Good Job!