Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hours total per week. He wants to make at least 65 dollars. Write a system of inequalities to represent this situation.

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

Number of hours can not be negative.

.

Therefore, the required system of inequalities contains some equations,   and .

x = 23.78

step-by-step explanation:

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