Question

Monday
12 hours
Tuesday
8 hours
Wednesday 8 hours

Thursday
8 hours
Friday
10 hours
Use the table to answer the question.
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,
0<x≤8
16x - 16,
8 < x ≤ 24
(1 point)

Answer 1

To calculate the total earnings for Garrett for the week based on the hours he worked each day, we will use the piecewise function provided. Let's break down his earnings day by day.

1. **Monday: 12 hours**
\[
f(12) = 16(12) - 16 = 192 - 16 = 176
\]

2. **Tuesday: 8 hours**
\[
f(8) = 14(8) = 112
\]

3. **Wednesday: 8 hours**
\[
f(8) = 14(8) = 112
\]

4. **Thursday: 8 hours**
\[
f(8) = 14(8) = 112
\]

5. **Friday: 10 hours**
\[
f(10) = 16(10) - 16 = 160 - 16 = 144
\]

Now, we can sum up Garrett's earnings for each day to find out his total earnings for the week:

\[
\text{Total earnings} = f(12) + f(8) + f(8) + f(8) + f(10)
\]

Calculating the total:

\[
\text{Total earnings} = 176 + 112 + 112 + 112 + 144 = 656
\]

Therefore, Garrett will make a total of **$656** for the week.