Question

You work as a cashier for a bookstore and earn $4 per hour. You also babysit and earn $8

per hour. You want to earn at least $56 per week, but you would like to work no more than
16 hours per week.
Given the graph of the linear system, which system is the solution of the real-world problem?

Answer 1

The correct option is C

Step-by-step explanation:

Lets find the linear equations:

For Hours

Let

Number of hours in bookstore per week = x

Number of hours for babysitting per week = y

Total number of hours ≤ 16

So the first equation us:

x + y ≤ 16

y ≤ 16 - x

For Money

Let

Amount earned per hour from bookstore = $4

Total Amount earned from bookstore = 4x

Amount earned per hour from babysitting = $8

Total Amount earned from babysitting = 8y

Total Amount earned ≥ $56

So the second equation is:

4x + 8y ≥ 56

8y ≥ -4x + 56

y ≥ -(1/2)x + 7