A local bakery sells two types of cookies, chocolate chip and oatmeal raisin. The store's shelves can hold up to 40 boxes of cookies. To keep his regular customers happy, the baker must keep an inventory of at least 8 boxes of each type of cookie on his shelves. Write the system of inequalities. O x+y240 x<8 y<8 O x+ys40 X28 y28 O 2x + ys 40 x28 y2 8 O x- ys 40 x28 y2 8

A local bakery sells two types of cookies, chocolate chip and oatmeal raisin. The store's shelves can hold up to 40 boxes of cookies. To keep his regular customers happy, the baker must keep an inventory of at least 8 boxes of each type of cookie on his shelves. Write the system of inequalities. O x+y240 x<8 y<8 O x+ys40 X28 y28 O 2x + ys 40 x28 y2 8 O x- ys 40 x28 y2 8

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....

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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?
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?
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?
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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.
In the following exercises, translate to a system of inequalities and solve. 319. Jocelyn is pregnant and needs to eat at least 500 more calories a day than usual. When buying groceries one day with a budget of $15 for the extra food, she buys bananas that have 90 calories each and chocolate granola bars that have 150 calories each. The bananas cost $0.35 each and the granola bars cost $2.50 each. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could she buy 5 bananas and 6 granola bars? (d) Could she buy 3 bananas and 4 granola bars?
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