Question
se 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 $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 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 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 in person since she can earn $720.00 per week.
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 $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 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 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 in person since she can earn $720.00 per week.
Answers
Answered by
GPT-4o mini
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.**
**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.**
There are no human answers yet. A form for humans to post answers is coming very soon!