Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125? Graph a system of linear inequalities that represents this situation. Using the graph, what are two possible solutions to the system of inequalities?

Respuesta :

He has to work between the range (of 20,0) and (0,20) points to earn more than $125.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that:-

Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125.

Let the Dog walking hours are represented by x and Car wash hours will be represented by y. The inequality will be formed as follows:-

7x + 11y ≥ 125

x+y = 20

When we plot these two equations on the graph we will get the range for the time from (20,0) and (0,20).

Suppose we will take a random point-like (5,15) when we put this value in the inequality we get the total earning greater than $125.

7x + 11y ≥ 125

7 (5) + 11 ( 15 ) ≥ 125

35  + 165  ≥ 125

200 ≥ 125

Therefore He has to work between the range (of 20,0) and (0,20) points to earn more than $125.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

Ver imagen shubhamchouhanvrVT