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Ou work as a cashier for a grocery store and earn $5 per hour. you also mow lawns and earn $10 per hour. you want to earn at least $50 per week, but would like to work no more than 10 hours per week. which system of inequalities, along with y ≥ 0 and x ≥ 0, would you use to solve the real-world problem?

Respuesta :

You have to do 50x times 10 per hour

Answer:

5x + 10y ≥ 50;   x + y ≤ 10

Step-by-step explanation:

Let x represents the number of hours spent on work as a cashier for the grocery store and y represents the number of hours spent on mowing lawns,

Given,

As a cashier for a grocery store, the earning is $5 per hour and in mowing the lawns the earning is $ 10 per hour,

Thus, the total earning = 5x + 10y

Also, the total time taken in grocery store and mowing = x + y

According to the question,

Total earning ≥ $ 50, and total time taken ≤ 10 hours

⇒ 5x + 10y ≥ 50;   x + y ≤ 10

Which is the required system of inequality along with  y ≥ 0 and x ≥ 0 ( Number of hours can not be negative )