Joanne works two jobs to pay for college. She tutors for $25 per hour and also works as a receptionist for $12 per hour. Due to her class and study schedule, Joanne is only able to work up to 25 hours per week, but must earn at least $200 per week. If t represents the number of hours Joanne tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario?

A. t + r > = 25

25t + 12r = 200

B. t + r < = 25

25t + 12r < = 200

C. t + r < = 25

25t + 12r > = 200

D. None of the systems shown represent this scenario.

Question

Isabella Callahan

Mathematics

17 September, 22:10

Joanne works two jobs to pay for college. She tutors for $25 per hour and also works as a receptionist for $12 per hour. Due to her class and study schedule, Joanne is only able to work up to 25 hours per week, but must earn at least $200 per week. If t represents the number of hours Joanne tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario?

A. t + r > = 25

25t + 12r = 200

B. t + r < = 25

25t + 12r < = 200

C. t + r < = 25

25t + 12r > = 200

D. None of the systems shown represent this scenario.

+4

Answers (1)

Know the Answer?

Matias Hull · Answer 1

The correct option is C:

" t + r < = 25

25t + 12r > = 200 "

Because t+R cannot be more than 25 hrs and 25t+12r can be great or equal to $200 because it says she makes at least 200