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2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.

2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.

Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.7: Graphing Systems Of Linear Inequalities
Problem 319E: In the following exercises, translate to a system of inequalities and solve. 319. Jake does not want...
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number 2 only, disregard number 1

1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. 2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.
Transcribed Image Text:1. A clothing company has 500 yards of cotton to make shirts and pants. A shirt requires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes two hours to make one shirt and three hours to make one pair of pants, and they have 1000 hours to make the clothing. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set. 2. Allan can work a maximum of 40 hours a week. He needs to make $440 to cover his expenses. His office job pays $12 an hour and his online selling job pays $10 an hour. a. Write a system of inequalities to represent the problem. b. Graph the inequalities and shade the solution set.
c. What is the least possible number of hours he can work at his office job and still meet the requirements?
Transcribed Image Text:c. What is the least possible number of hours he can work at his office job and still meet the requirements?
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