Jamie wants to work no more than 30 hours per week at his two part-time jobs. The first job pays him $14 per hour and the second job pays him $16 per hour. He must earn more than $250 per week to pay all of his bills. Which inequality models this situation?

A. x + y > 250; 14x + 16y ≤ 30
B. x + y < 30; 14x + 16y ≥ 250
C. x + y ≤ 30; 14x + 16y > 250
D. x + y ≥ 30; 14x + 16y < 250

Because the problem says he needs to earn MORE than 250 dollars a week, you need to have the greater than sign without the equal to underneath it. D is the only possible answer for this question for that reason.

Answer Link

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-08-13T04:38:23+02:00

The inequality models the given situation is x + y ≤ 30; 14x + 16y > 250. Therefore, option C is the correct answer.

We need to identify the inequality models the given situation.

What is an inequality?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Let the number of hours Jamie worked in the first job be x.

Let the number of hours Jamie worked in the second job be y.

Given, that Jamie wants to work no more than 30, then the inequality to this situation is x+y≤30.

The first job pays him $14 per hour and the second job pays him $16 per hour. He must earn more than $250 per week to pay all of his bills.

Then the inequality for this condition is 14x + 16y > 250.

The inequality models the given situation is x + y ≤ 30; 14x + 16y > 250. Therefore, option C is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ5