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
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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