Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can w

Question

3 years ago

9

Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can w

ork a maximum of 15 total hours and must earn no less than $220. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Mathematics

2 answers:

arlik [135] · Answer 1 · 2022-06-13T14:03:42+03:00

arlik [135]3 years ago

8 0

Answer: 11x + 20y ≥ 220

x + y ≤ 15

Hope this helps

PilotLPTM [1.2K] · Answer 2 · 2022-06-13T16:02:29+03:00

9514 1404 393

Answer:

x + y ≤ 15
11x +20y ≥ 220
3 hours babysitting and 11 hours lifeguarding

Step-by-step explanation:

The two inequalities represent the two relations described in the problem statement.

x + y ≤ 15 . . . . . . . Mia works a maximum of 15 hours

11x + 20y ≥ 220 . . . . Mia makes at least $220

These are graphed in the attachment. The solution area is the doubly-shaded area with vertices at (9, 6), (0, 11) and (0, 15). One possible solution is shown at (3, 11), which represents ...

3 hours babysitting

11 hours lifeguarding . . . . . . . . total 14 hours for $253