Question

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. ​ Part A Let b represent the number of hours Carson works in one week at the babysitting job, and let c represent the number of hours Carson works in one week at his father's business. Which inequalities represent the constraints on what Carson can earn and the number of hours he can work in one week? Select all that apply.​ A b+c≤15 B 6b+8c≤15 C 6b+8c≥15 D b+c≥96 E 6b+8c≥96 F 6b+8c≤96 Part B Which combination of number of hours would allow Carson to work 15 hours in one week and earn at least $96? Select all that apply. A 10 hours babysitting and 5 hours clerical B 11 hours babysitting and 4 hours clerical C 12 hours babysitting and 3 hours clerical D 13 hours babysitting and 2 hours clerical E 14 hours babysitting and 1hour clerical Part C Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at least $96 that week? ​Enter your answer in the box. ​ hours ​ ​ ​ Part D ​Suppose Carson worked at his father's business for hours one week. What is the minimum number of full hours he would need to babysit that week to earn at least that week? ​​Enter your answer in the box.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Part A: A, E Part B: A, B, C Part C: 8 hours Part D: 5 hours

Step-by-step explanation:

Part A:

hours that he works (b and c) should be less than or equal to ($\leq$) 15

Option A

amount of money he makes for each (6b and 8c) should be greater than or equal to ($\geq$) 96

Option E

Part B:

Amount he makes should be greater than or equal to 96

Option A 6(10)+8(5)=100

Option B 6(11)+8(4)=98

Option C 6(12)+8(3)=96

Part C:

6(5)=30

96-30=66

66÷8=8.25

Part D:

8(8)=64

96-64=32

32÷6=5.33