## 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

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.

## Answers ( No )

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

Step-by-step explanation:🙂

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