Rosalyn works no more than 16 hours a week during the school year. she is paid $10 and hour for tutoring geometry students and $7 an hour for delivering pizzas for Pizza King. She wants to spend at least 6 hours but no more than 8 hours a week tutoring. Find Rosalyn's maximum earnings.

Question

Rosalyn works no more than 16 hours a week during the school year.  she is paid $10 and hour for tutoring geometry students and $7 an hour for delivering pizzas for Pizza King.  She wants to spend at least 6 hours but no more than 8 hours a week tutoring.  Find Rosalyn's maximum earnings.

Omar · Accepted Answer

10X+7y= amount of money earned
X= hours tutoring
constraints:
X+Y less than or equal to 16
X greater than or equal to 3
X less than or equal to 8
Graph it and find coordinates of intersectoin, then plug them in and see which one gives you the most money

Ms. Sue · Answer

She needs to tutor 8 hours a week.