## 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 p

Question

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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The inequalities are y>=5; 4x+10y<=100

Step-by-step explanation:

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2. 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 <=20

Salary for dog-walking job =\$7.50/ hour
Salary for car washing job=\$6/ hour
Total salary in a week earned through dog-walking job =7.50x
Total salary in a week earned through car washing job=6y
Least amount to be earned in a week =\$92
Therefore, 7.50x +6y>=92

The required inequalities are
x+y<=20; 7.50x+6y>=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<=100

The required inequalities are
y>=5; 4x+10y<=100