Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard? A)12x+9.5yle220;x+yge20 B)12x+9.5yle220;x+yle20 C)12x+9.5yge220;x+yle20 D)12x+9.5yge220;x+yle20

bonconseilmpc

bonconseilmpc

Answered question

2023-02-14

Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?
A)12x+9.5y≤220;x+y≥20
B)12x+9.5y≤220;x+y≤20
C)12x+9.5y≥220;x+y≤20
D)12x+9.5y≥220;x+y≤20

Answer & Explanation

Corbin Higgins

Corbin Higgins

Beginner2023-02-15Added 6 answers

The correct answer is C 12x+9.5y≥220;x+y≤20
Given that Jackie works x hours as a tutor and y hours as a lifeguard during a week. The pays for the jobs are respectively $12 per hour and $9.5 per hour. Thus, total amount earned per week is 12x + 9.5y. Total amount to be earned is at least $220. Hence,
12x+9.5y≥220
Additionally, the total number of hours worked is (x + y), which is capped at 20. Hence,
x+y≤20
Therefore, C is the correct option.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?