Jeanne babysits for $6 per hour she also works as a reading tutor for $10 per hour she is only allowed to work 20 hours per week

Question

3 years ago

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Jeanne babysits for $6 per hour she also works as a reading tutor for $10 per hour she is only allowed to work 20 hours per week

this week her goal is to make at least $75. Use a system of inequalities to model the scenario above let x represent babysitting hours and y represent tutoring hours.

Mathematics

1 answer:

Irina18 [472] · Answer 1 · 2022-03-09T13:14:58+03:00

Answer:

see the explanation

Step-by-step explanation:

Let

x------> represent babysitting hours

y ------> represent tutoring hours

we now that

The system of inequalities that model the scenario is

$x+y \leq20$ -----> inequality A

$6x+10y \geq 75$ -----> inequality B

The solution is the shaded area between the positive values of x and y

see the attached figure