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?

t + r 25
25t + 12r = 200

t + r 25
25t + 12r 200

t + r 25
25t + 12r 200

None of the systems shown represent this scenario.

Question

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?

t + r  25
25t + 12r = 200

t + r  25
25t + 12r  200

None of the systems shown represent this scenario.

anonymous · Answer

T = the number of hours she works as a tutor
R = the number of hours she works as a receptionist

Since she can only work up to 25 hours in a week, when you add T and R, they have to be less than or equal to 25.

She makes $25/hr as a tutor, and $12/hr as a receptionist. She has to earn at least (aka equal to or greater than) $200.

Your choices above are incomplete, but there is enough information to write out the word problem as two equations.

anonymous · Answer

Thx.

anonymous · Answer

I found the same problem you are doing. http://openstudy.com/study#/updates/4f369812e4b0fc0c1a0cf059

anonymous · Answer

oh Thank you :)