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

1. x+y ≤ 20

2. 6x+10y ≥ $75

Explanation:

Let x= babysits hours

Let y= reading tutor hours

If she is only allowed to work 20 hours per week then the sum of hours per week for babysit and reading tutor should be 20 or less but to more.

This can be written as;

x+y ≤ 20

Here goal for this week is to make at least $75. This mean the sum of money earned for this week should be $75 or more for both babysits and reading tutor hours

This can be written as;

6x+10y ≥ $75

Graphically the two inequality produce the attached graph