Question

You can work a total of no more than 32 hours each week at your two jobs. Tutoring pays $7 per hour and babysitting pays $8 per hour. You need to earn at least $256 each week to pay your bills.

Let X = the number of hours tutoring. Let Y = the number of hours babysitting

Answer 1

Answer: The correct system of linear inequalities that represents this situation is:

X + Y ≤ 32 (to represent the maximum number of hours you can work)

7X + 8Y ≥ 256 (to represent the minimum amount of money you need to earn)

X ≥ 0, Y ≥ 0 (to represent that you can only work a non-negative number of hours at each job)

Where X represents the number of hours you spend tutoring and Y represents the number of hours you spend babysitting. The first inequality represents the maximum number of hours you can work, and the second inequality represents the minimum amount of money you need to earn. The last two inequalities represent that you can only work a non-negative number of hours at each job.

Explanation: