Felicia works at a pet store and makes $14 an hour. Her friend Melody works at a local coffee shop and makes $8.25 per hour and an additional $14.50 in tips per day.

Question

The system of equations y=14x and y=8.25x+14.5 can be used to model the money earned, y, for the number of hours, x, worked. The graph of the system is shown.

What does the solution to the system mean in this situation?

(1 point)
Responses

When Felicia works 2.52 hours, Melody makes $35.30.
When Felicia works 2.52 hours, Melody makes $35.30.

When Melody works 2.52 hours, Felicia makes $35.30.
When Melody works 2.52 hours, Felicia makes $35.30.

When they both work 2.52 hours, they both make $35.30.
When they both work 2.52 hours, they both make $35.30.

When they both work 2.52 hours together, they each make $17.65.

Answer 1

The solution to the system of equations represents the point where Felicia's earnings and Melody's earnings are equal. In this context, it means that when they both work approximately 2.52 hours, their total earnings are the same.

So, the correct interpretation is:

When they both work 2.52 hours, they both make $35.30.