write a system of linear inequalities to represent this situation, and graph if can, if cannot its ok po3sIbie Combihationsof shorts and t-shirts that Brandon can buy.12 (A 14s9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charityevent. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to spend and would like topurchase at least 20 pieces of fruit in total.a) Write a system of linear inequalities to representthis situation, then graph.b) Using your graph, give two possible combinationsof apples and oranges Darcy can buy.12

Answered: Image /qna-images/answer/b4e078d7-5d65-4d47-8d77-af41061eff18.jpg

D. Darcy is buying apples and oranges for a large fruit basket to give away as a doc event. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to sp purchase at least 20 pieces of fruit in total. a) Write a system of linear inequalities to represent this situation, then graph. b) Using your graph, give two possible combinations of apples and oranges Darcy can buy. 2. 2.

D. Darcy is buying apples and oranges for a large fruit basket to give away as a doc event. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to sp purchase at least 20 pieces of fruit in total. a) Write a system of linear inequalities to represent this situation, then graph. b) Using your graph, give two possible combinations of apples and oranges Darcy can buy. 2. 2.

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 4.120TI: Philip’s doctor tells him he should add at least 1,000 more calories per day to his usual diet....

See similar textbooks

Similar questions

A trailer can carry a maximum weight of 160 pounds and a maximum volume of 15 cubic feet. A microwave oven weighs 30 pounds and has 2 cubic feet of volume, while a printer weighs 20 pounds and has 3 cubic feet of space. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could 4 microwaves and 2 printers be carried on this trailer? (d) Could 7 microwaves and 3 printers be carried on this trailer?
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?
Tension needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 8 donuts and 4 energy drinks and satisfy his caloric needs? (d) Can he buy 1 donut and 3 energy drinks and satisfy his caloric needs?
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?
Tension needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 8 donuts and 4 energy drinks? (d) Can he buy 1 donut and 3 energy drinks?
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?
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?
Biology Each day, an average adult moose can process about 32 kilograms of terrestrial vegetation (twigs and leaves) and aquatic vegetation. From this food, it needs to obtain about 1.9 grams of sodium and 11,000 calories of energy. Aquatic vegetation has about 0.15 gram of sodium per kilogram and about 193 calories of energy per kilogram, whereas terrestrial vegetation has minimal sodium and about four times as much energy as aquatic vegetation. Write and graph a system of inequalities that describes the amounts t and a of terrestrial and aquatic vegetation, respectively, for the daily diet of an average adult moose.
Height and Weight For a healthy person who is 4 feet 10 inches tall, the recommended minimum weight is about 91 pounds and increases by about 3.6 pounds for each additional inch of height. The recommended maximum weight is about 115 pounds and increases by about 4.5 pounds for each additional inch of height. (a) Let x be the number of inches by which a person’s height exceeds 4 feet 10 inches and let y be the person’s weight (in pounds). Write a system of inequalities that describes the possible values of x and y for a healthy person. (b) Use a graphing utility to graph the system of inequalities from part (a). (c) What is the recommended weight range for a healthy person who is 6 feet tall?
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.
Shipping A warehouse supervisor has instructions to ship at least 50 bags of gravel that weigh 55 pounds each and at least 40 bags of stone that weigh 70 pounds each. The maximum weight capacity of the truck being used is 7500 pounds. (a) Write and graph a system that describes the numbers of bags of stone and gravel that can be shipped. (b) Find two solutions of the system and interpret their meanings in the context of the problem.
Applications Fundraising A cheerleading team is selling cookie dough and pizza kits to raise at least 3600 for their summer camp expenses. a.If the profit for selling a tub of cookie dough is 6 and for selling a pizza kit is 8, write a system of inequalities that describes when x tubs of cookie dough and y pizza kits will cause the fundraising goal to be reached. Hint: Remember that a negative number of cookie dough or pizza kits cannot be sold. b.Graph the system of inequalities.