Question

Rick works two jobs to pay for college. he tutors for $20 per hour and also works as a bag boy for $7 per hour. due to his class and study schedule, rick 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 rick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b less than or equal to 25 20t + 7b greater than or equal to 200 t + b greater than or equal to 25 20t + 7b = 200 t + b less than or equal to 25 20t + 7b less than or equal to 200 none of the systems shown represent this scenario.

Answer 1

the answer is actually in the question, but you have to write it out mathematically.

he needs at least $200 per week:

20t + 7b > 200 (greater than or equal to)

he can work up to 25 hours per week:

t + b < 25

so this is your system of inequalities. hope this helps!