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?

Answer 1

seems like the problem has choices

Answer 2

let y be hours worked as tutor and x be hours worked as receptionist
now as the constraints are given, she can work a maximum of

x+y=<25

but she must earn atleast 200 bucks,

so, 12x+25y>=200

also, x,y>=0 (hours can't be negative!)

when you plot both these lines as shown above the you get a region which is the intersection of the acceptable values of x and y.

and so, x and y can take any values (corresponding to one another ofcourse) from the region.