number 2 only, disregard number 1 1. A clothing company has 500 yards of cotton to make shirts and pants. A shirtrequires 1 yard of fabric and a pair of pants requires 2 yards of fabric. It takes twohours to make one shirt and three hours to make one pair of pants, and they have1000 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 coverhis expenses. His office job pays $12 an hour and his online selling job pays $10an 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 stillmeet the requirements?

Answered: Image /qna-images/answer/70c01934-56f2-47d0-9139-d68a5f638df3.jpg

Answered: 2. Allan can work a maximum of 40 hours…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 48PFA

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Similar questions

Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 children cost less than $62. (a) Write a system of inequalities to model this problem. (b) Graph the system. (c) Could the tickets cost $20 for adults and $8 for children? (d) Could the tickets cost $15 for adults and $5 for children?
Philip’s doctor tells him he should add at least 1,000 more calories per day to his usual diet. Philip wants to buy protein bars that cost $1.80 each and have 140 calories and juice that costs $1.25 per bottle and have 125 calories. He doesn’t want to spend more than $12. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 3 protein bars and 5 bottles of juice? (d) Can he buy 5 protein bars and 3 bottles of juice?
Mary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could Mary purchase 100 pencils and 100 answer sheets? (d) Could Mary purchase 150 pencils and 150 answer sheets?
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could they take 9 children and 4 adults to both shows? (d) Could they take 8 children and 5 adults to both shows?
Ticket Sales For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 2000 reserved seats available, and fire regulations limit the number of paid ticket holders to 3000. The promoter must take in at least $75,000 in ticket sales. Write and graph a system of inequalities that describes the different numbers of tickets that can be sold.
Mary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than twice the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could Mary purchase 100 pencils and 100 answer sheets? (d) Could Mary purchase 150 pencils and 150 answer sheets?

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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.