lexmac586 lexmac586

25-10-2022
Mathematics

Answered

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 :

rafikiedu08 rafikiedu08

01-11-2022

The inequality that represents the hours which Lisa can work is t+b≥20, 21t+16b≥195

Given that,

Lisa has two jobs to help pay for her education. She earns $21 per hour as an instructor and $16 per hour as a delivery person. Lisa can only work up to 20 hours per week due to her class and study schedule, but she has to make at least $195 each week.

We have to find which inequality system best describes this situation if T is the amount of tutoring hours Lisa works and D is the number of delivery hours she works.

The inequality we get ,

t+b≥20

21t+16b≥195

Therefore, the inequality are t+b≥20, 21t+16b≥195

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