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Use the table to answer the 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 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 remotely since she can earn an extra $10.00 per week under that pay model. Sara should choose to work remotely since she can earn an extra $10.00 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 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 $770.00 per week. Sara should choose to work in person since she can earn $770.00 per week. Skip to navigation

1 answer

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.