Shaq works at a diner and makes $8.75an hour and makes $20in tips a day. His friend Nova works as a food delivery driver and makes $12an hour with an additional $15.25in tips per day.The system of equations 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)ResponsesWhen Shaq works 1.46hours, Nova makes $32.78.When Shaq works 1 point 4 6 hours, Nova makes 32 point 7 8 dollars.When they work 1.46hours together, they each make $16.39.When they work 1 point 4 6 hours together, they each make 16 point 3 9 dollars.When they both work 1.46hours, they both make $32.78.When they both work 1 point 4 6 hours, they both make 32 point 7 8 dollars.When Nova works 1.46hours, Shaq makes $32.78.

Answer 1

To interpret the solution to the system of equations in this context, we need to understand what the equations represent and what the solution indicates about the earnings of both Shaq and Nova.

Let's denote the earnings of Shaq and Nova based on the hours they work and their tips. The equations for their earnings could be structured as follows:

• Shaq's earnings: \(y_S = 8.75x + 20\) (where \(x\) is the number of hours he works, and $20 is his daily tip)
• Nova's earnings: \(y_N = 12x + 15.25\) (where \(x\) is the number of hours she works, and $15.25 is her daily tip)

The solution to the system of equations will give us the number of hours they work (x) and the respective earnings (y).

If the solution to the system is approximately \(x = 1.46\) hours, and let's say \(y = 32.78\), this means:

1. Both individuals work the same amount of time (1.46 hours).
2. At this point (1.46 hours), both their earnings are equal and presumably amounting to about $32.78.

Based on this information, the correct interpretation from the list you provided would be:

When they both work 1.46 hours, they both make $32.78.

This option accurately reflects what the solution of the system means in this situation.