5. Valencia babysits for $5 an hour. She also works as a tutor for $8 an hour. She is not allowed to work more than 20 hours a weeand she wants to earn at least $120.Write a system of inequalities.6.y>-3x+5a.b. Without graphing, determine which of the following satisfies the inequalities and explain.5 hours babysitting, 10 hours tutoring5 hours babysitting, 15 hours tutoring8 hours babysitting, 13 hours tutoringThe regions below were formed by graphing several inequalities. Write the coordinates ofeach vertex of the figure. Study each graph, and determine the inequalities used.

Answered: Image /qna-images/answer/ec3a0ff1-1e81-4fdc-942c-a0a90cef8d94.jpg

Answered: 5. Valencia babysits for $5 an hour.…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 15PS: Biology Each day, an average adult moose can process about 32 kilograms of terrestrial vegetation...

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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?
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.
In the following exercises, translate to a system of inequalities and solve. 315. Caitlyn sells her drawings at the county fair. She wants to sell at least 60 drawings and has portraits and landscapes. She sells the portraits for $15 and the landscapes for $10. She needs to sell at least $800 worth of drawings in order to earn a profit. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Will she make a profit if she sells 20 portraits and 35 landscapes? (d) Will she make a profit if she sells 50 portraits and 20 landscapes?
Geometry Write a system of inequalities to describe the region of a rectangle with vertices at 3,1,7,17,10and3,10
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. 406. Annie has a budget of $600 to purchase paperback books and hardcover books for her classroom. She wants the number of hardcover to be at least 5 more than three times the number of paperback books. Paperback books cost $4 each and hardcover books cost $15 each. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can she buy 8 paperback books and 40 hardcover books? (d) Can she buy 10 paperback books and 37 hardcover books?
The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to either run or bike and burns 15 calories per minute while running and 10 calories a minute while biking. (a) If x is the number of minutes that Laura runs and y is the number minutes she bikes, find the inequality that models the situation. (b) Graph the inequality. (c) List three solutions to the inequality. What optionsdo the solutions provide Laura?

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