Hours, h5 1015 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 personher 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 weekIf she chooses to work remotely, the table shows her pay per number of hours worked Compare the two function modelsIf Sara wants to maximize her pay which choice should she make and whyassuming she works exactly 40 hours per week? ( point) Sara should choose to work remotely since she can eam an extra 10.00 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 remotely since can an extra 60.00 per week under that pay model should choose to work in person since she can earn $720.00 per week
Based on the given information, Sara should choose to work remotely as she can earn an extra $60.00 per week under that pay model compared to working in person.
Here's the comparison of the two function models:
- In person: c(h) = 50 + 18h
- Remote:
- For 15 hours: c(h) = 97.50
- For 20 hours: c(h) = 195.00
- For 30 hours: c(h) = 292.50
- For 40 hours: c(h) = 390.00
Since Sara works exactly 40 hours per week, she will earn $390.00 if she works remotely compared to $770.00 if she works in person. Therefore, working remotely will allow Sara to maximize her pay.