Watch help videoKayden is working two summer jobs, making $19 per hour lifeguarding and making$9 per hour walking dogs. In a given week, he can work no more than 20 total hoursand must earn no less than $270. If æ represents the number of hours lifeguardingand y represents the number of hours walking dogs, write and solve a system ofinequalities graphically and determine one possible solution.Inequality 1: y 2plotswitch shadeInequality 2: y NYplotswitch shade403836343230282624

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Answered: and y represents the number of hours…

and y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter3: Graphs And Functions

Section: Chapter Questions

Problem 490RE: Shanthie needs to earn at least $500 a week during her summer break to pay for college. She works...

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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.
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?
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?
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.
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?
Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Elena.
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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?
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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?