Question

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.

Answer 1

see the explanation

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