1 1. You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your dog - walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation. 2. Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

Question

Mathematics

Robbins

24 October, 03:05

1 1. You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your dog - walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation. 2. Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

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Megan Wilkins · Answer 1

Let x be the number of hours spent in dog-walking Let y be the number of hours spend in car washing. The maximum number of hours at work in a week is 20. Therefore x + y = 92 The required inequalities are x+y=92 2. Let x be the number of soil bags Let y be the number of plants Cost per soil bag = $4 Cost per plant = $10 Minimum number of plants she wants to buy = 5 Therefore, y>=5 Maximum amount she can spent = $100 Therefore 4x+10y=5; 4x+10y<=100