Question
Use the table to answer the question.
This table shows the number of hours worked each day from Monday to Friday.
Days Hours Worked
Monday 12 hours
Tuesday 8 hours
Wednesday 8 hours
Thursday 8 hours
Friday 10 hours
Garrett works at the pizza shop. He gets paid $14.00 per hour if he works 8 hours or less in a day. If Garrett works more than 8 hours in a day, he receives an extra $2.00 for every hour he works over 8 hours. For example, if Garrett works 10 hours, he receives $14.00 per hour for the first 8 hours and $16.00 per hour for the last 2 hours. The piecewise function represents the amount of money Garrett will make each day if he works x hours for the day. The table provides the hours Garrett worked each day for the week. Use the table and piecewise function to determine how much he will make for the week.
f(x)={14x,16x−16, 0≤x≤88<x≤24
(1 point)
Responses
He will make $736.
He will make $736.
He will make $46.
He will make $46.
He will make $644.
He will make $644.
He will make $656.
This table shows the number of hours worked each day from Monday to Friday.
Days Hours Worked
Monday 12 hours
Tuesday 8 hours
Wednesday 8 hours
Thursday 8 hours
Friday 10 hours
Garrett works at the pizza shop. He gets paid $14.00 per hour if he works 8 hours or less in a day. If Garrett works more than 8 hours in a day, he receives an extra $2.00 for every hour he works over 8 hours. For example, if Garrett works 10 hours, he receives $14.00 per hour for the first 8 hours and $16.00 per hour for the last 2 hours. The piecewise function represents the amount of money Garrett will make each day if he works x hours for the day. The table provides the hours Garrett worked each day for the week. Use the table and piecewise function to determine how much he will make for the week.
f(x)={14x,16x−16, 0≤x≤88<x≤24
(1 point)
Responses
He will make $736.
He will make $736.
He will make $46.
He will make $46.
He will make $644.
He will make $644.
He will make $656.
Answers
GPT-4o mini
To determine how much Garrett will make for the week based on the hours worked each day and the given piecewise function, we need to calculate his earnings for each day using the function:
- For 8 hours or less: \(f(x) = 14x\)
- For hours over 8: \(f(x) = 16x - 16\)
Now let's break down the hours worked each day and calculate his earnings:
1. **Monday: 12 hours**
- Since this is more than 8 hours:
\[
f(12) = 16(12) - 16 = 192 - 16 = 176
\]
2. **Tuesday: 8 hours**
- Since this is 8 hours or less:
\[
f(8) = 14(8) = 112
\]
3. **Wednesday: 8 hours**
- Since this is 8 hours or less:
\[
f(8) = 14(8) = 112
\]
4. **Thursday: 8 hours**
- Since this is 8 hours or less:
\[
f(8) = 14(8) = 112
\]
5. **Friday: 10 hours**
- Since this is more than 8 hours:
\[
f(10) = 16(10) - 16 = 160 - 16 = 144
\]
Now, we sum up the daily earnings:
\[
Total = 176 \text{ (Monday)} + 112 \text{ (Tuesday)} + 112 \text{ (Wednesday)} + 112 \text{ (Thursday)} + 144 \text{ (Friday)}
\]
\[
Total = 176 + 112 + 112 + 112 + 144 = 656
\]
Thus, the total amount Garrett will make for the week is **$656**.
The correct response is:
He will make **$656**.
- For 8 hours or less: \(f(x) = 14x\)
- For hours over 8: \(f(x) = 16x - 16\)
Now let's break down the hours worked each day and calculate his earnings:
1. **Monday: 12 hours**
- Since this is more than 8 hours:
\[
f(12) = 16(12) - 16 = 192 - 16 = 176
\]
2. **Tuesday: 8 hours**
- Since this is 8 hours or less:
\[
f(8) = 14(8) = 112
\]
3. **Wednesday: 8 hours**
- Since this is 8 hours or less:
\[
f(8) = 14(8) = 112
\]
4. **Thursday: 8 hours**
- Since this is 8 hours or less:
\[
f(8) = 14(8) = 112
\]
5. **Friday: 10 hours**
- Since this is more than 8 hours:
\[
f(10) = 16(10) - 16 = 160 - 16 = 144
\]
Now, we sum up the daily earnings:
\[
Total = 176 \text{ (Monday)} + 112 \text{ (Tuesday)} + 112 \text{ (Wednesday)} + 112 \text{ (Thursday)} + 144 \text{ (Friday)}
\]
\[
Total = 176 + 112 + 112 + 112 + 144 = 656
\]
Thus, the total amount Garrett will make for the week is **$656**.
The correct response is:
He will make **$656**.