Question

Hours, h 5 10 15 20 30 40 Pay, c(h) , in $ 97.50 195.00 292.50 390.00 585.00 780.00 Sara’s new employer offers two compensation plans. If Sara reports to work in person, her weekly pay per number of hours worked can be modeled by the function c(h)=50+18h , where c(h) is the amount of compensation in dollars, and h is the number of hours worked each week. If she chooses to work remotely, the table shows her pay per number of hours worked. Compare the two function models. If Sara wants to maximize her pay, which choice should she make and why, assuming she works exactly 40 hours per week?(1 point) Responses Sara should choose to work remotely since can earn an extra $60.00 per week under that pay model. Sara should choose to work remotely since can earn an extra $60.00 per week under that pay model. Sara should choose to work in person since she can earn $720.00 per week. Sara should choose to work in person since she can earn $720.00 per week. Sara should choose to work in person since she can earn $770.00 per week. Sara should choose to work in person since she can earn $770.00 per week. Sara should choose to work remotely since she can earn an extra $10.00 per week under that pay model.

Answer 1

To compare the two compensation plans, we need to calculate Sara's pay for both scenarios when she works exactly 40 hours per week.

1. Pay for working in person: The pay model for working in person is given by the function: \[ c(h) = 50 + 18h \] Substituting \( h = 40 \): \[ c(40) = 50 + 18(40) \] \[ c(40) = 50 + 720 \] \[ c(40) = 770 \]

So, if Sara works in person for 40 hours, she will earn $770.

2. Pay for working remotely: From the provided table, we can see the pay for working remotely at 40 hours is $780.

Now we can compare the two amounts:

• In-person pay: $770
• Remote pay: $780

Since $780 (remote work) is greater than $770 (in-person work), Sara should choose to work remotely.

Conclusion: Sara should choose to work remotely since she can earn an extra $10.00 per week under that pay model.