To compare the two compensation plans for Sara, we will calculate her pay for both working in person and remotely when she works exactly 40 hours per week.
1. In-Person Pay Calculation: The pay function for working in person is given by: \[ c(h) = 50 + 18h \]
For \( h = 40 \): \[ c(40) = 50 + 18 \times 40 \] \[ c(40) = 50 + 720 \] \[ c(40) = 770 \]
2. Remote Pay Calculation: From the table, when \( h = 40 \), the pay is: \[ c(40) = 780 , (\text{as given in the table}) \]
Comparison of Pay:
- In-person pay: $770.00
- Remote pay: $780.00
Since Sara earns more by working remotely:
Final Answer: Sara should choose to work remotely since she can earn an extra $10.00 per week under that pay model.