Question

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting and $8 per hour for clerical work at his father's business. He wants to earn at least $96 a week but not work more than 15 hours in total each week due to school commitments.

Let's use b to represent the number of hours Carson works in one week at the babysitting job, and c to represent the number of hours he works at his father's business in one week. Which of the following inequalities represent the amount of money Carson can earn and the number of hours he can work in one week?

A) 6b + 8c > 96
B) 6b + 8c < 96
C) b + c < 15
D) 6b + 8c = 96

Answer 1

Carson can represent the amount of money he can earn and the number of hours he can work in one week using the inequalities 6b + 8c > 96 and b + c < 15.

Step-by-step explanation:

The amount of money Carson can earn and the number of hours he can work in one week can be represented by the inequality: 6b + 8c > 96. This inequality indicates that the total earnings from babysitting (6b) plus the total earnings from clerical work (8c) should be greater than 96, which is the minimum amount of money Carson wants to earn in a week.

Additionally, the total number of hours Carson can work in one week can be represented by the inequality: b + c < 15. This inequality indicates that the total number of hours for babysitting (b) plus the total number of hours for clerical work (c) should be less than 15, which is the maximum number of hours Carson can work in a week.