Question

Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a

bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work
up to 20 hours per week but must earn at least $150 per week. If t represents the
number of hours Nick tutors and b represents the number of hours he works as a bag
boy, which system of inequalities represents this scenario?
A. t+b = 20
15t + 8b < 150
B. t+b 20
15t + 8b = 150
C. None of the systems shown represent this scenario.
D. t+b = 20
15t + 8b > 150

Answer 1

Answer:The answer is B.

He can't work more than 20 hours so t+b must be less than or equal to 20.

He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Explanation: