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 d…

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asked Nov 5, 2021 44.6k views

1 Answer

Villapx · Answer 1 · 2021-11-10T11:31:16+0000

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.

$x+y\leq 13$

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

$4x+7y\geq 65$

Number of hours can not be negative.

$x\geq 0, y\geq 0$ .

Therefore, the required system of inequalities contains some equations,
$x+y\leq 13,4x+7y\geq 65$ and
$x, y\geq 0$ .