Question

Lisa works two jobs to pay for college. She tutors for $21 per hour and also works as a delivery person for $16 per hour. Due to her class and study schedule, Lisa is only able to work up to 20 hours per week but must earn at least $195 per week. If T represents the number of hours Lisa tutors and D represents the number of hours she works as a delivery person, which system of inequalities represents this scenario?

Answer 1

The system of inequalities for Lisa's scenario is represented as T + D ≤ 20 and 21T + 16D ≥ 195.

Step-by-step explanation:

The first step in representing Lisa's scenario is to define the variables. Let T represent the number of hours Lisa tutors and D represent the number of hours she works as a delivery person. The next step is to set up the inequalities based on the given information:

1. Lisa can work up to 20 hours per week: T + D ≤ 20
2. Lisa must earn at least $195 per week: 21T + 16D ≥ 195

Combining these two inequalities represents Lisa's scenario:

T + D ≤ 20

21T + 16D ≥ 195