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?

t + b 20
15t + 8b = 150

t + b 20
15t + 8b 150

t + b 20
15t + 8b 150

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?

 t + b  20
15t + 8b = 150

 t + b  20
15t + 8b  150

 t + b  20
15t + 8b  150

anonymous · Answer

Tutors for $15 per hour... 15t
Bag boy for $8 per hour... 8b
He must earn AT LEAST $150 per week... >= 150
So$$15t + 8b \ge 150$$

He can only work 20 hrs or LESS. symbol will be <=$$t + b \le 20$$

anonymous · Answer

oh okayy i understand that part. how do i figure out the bottom part?

anonymous · Answer

oh wait, never mind

anonymous · Answer

i get i t! just that equation was tricky. Thank you so much (:

anonymous · Answer

welcome. (: