12. Last night, Julie's pet hamster Zoe kept Julie awake for at least an hour running on her exercisewheel and scratching at the corner of her cage. Zoe ran on the wheel at least twice as long asshe scratched at the corners of her cage, and she spent more than - hour running on her4wheel. Which system of inequalities represents the time Zoe kept Julie awake last night if x isthe number of hours Zoe spent running on her wheel and y is the number of hours spentscratching her cage?

In order to solve this problem, we just need to translate mathematically what the problem is talking…

Answered: 12. Last night, Julie's pet hamster Zoe…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.5: Systems Of Inequalities

Problem 72E

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Similar questions

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?
Philip’s doctor tells him he should add at least 1000 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?
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.
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?

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