Math Problem Statement

James has a job mowing lawns that pays $5 per hour. He also has a job at a clothing store that pays $8 per hour. He needs to earn at least $56 per week but can work less than 10 hours a week. The system below represents this scenario, where x represents the number of hours he works mowing lawns and y the number of hours he works at the clothing store.

x + y < 10

5x + 8y ≥ 56

Which statements describe a combination of hours James can work mowing lawns and at the clothing store?

Select TWO correct responses. A.James can work 3 hours mowing lawns and 5 hours at the clothing store. B.James can work 5 hours mowing lawns and 3 hours at the clothing store. C.James can work 2 hours mowing lawns and 7 hours at the clothing store. D.James can work 4 hours mowing lawns and 5 hours at the clothing store. E.James can work 8 hours mowing lawns and 2 hours at the clothing store.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Inequalities
Systems of Inequalities

Formulas

x + y < 10
5x + 8y ≥ 56

Theorems

Solution of Systems of Linear Inequalities

Suitable Grade Level

Grades 8-10