To determine which compensation plan Sara should choose, we need to calculate her pay for both the in-person and remote work models when she works 40 hours.
1. Calculate in-person pay using the function \( c(h) = 50 + 18h \):
For \( h = 40 \):
\[ c(40) = 50 + 18 \times 40 \] \[ c(40) = 50 + 720 \] \[ c(40) = 770 \text{ dollars} \]
2. Calculate remote pay using the provided table:
From the table, for 40 hours worked, the pay is:
\[ \text{Pay} = 780 \text{ dollars} \]
3. Compare the two earnings:
- In-person earnings: $770
- Remote earnings: $780
Since $780 (remote earnings) is greater than $770 (in-person earnings), Sara should choose to work remotely.
Thus, the correct response is: Sara should choose to work remotely since she can earn an extra $10.00 per week under that pay model.
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