Question

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 $656.
He will make $656.

He will make $736.
He will make $736.

He will make $46.
He will make $46.

He will make $644.

Answer 1

To determine how much Garrett will make for the week based on the hours worked each day, we can use the provided piecewise function:

- If Garrett works 8 hours or less: \( f(x) = 14x \)
- If Garrett works more than 8 hours: \( f(x) = 16x - 16 \)

Now, we will calculate his earnings for each day based on the hours worked:

1. **Monday (12 hours)**:
- More than 8 hours, so use \( f(x) = 16x - 16 \):
\[
f(12) = 16(12) - 16 = 192 - 16 = 176
\]

2. **Tuesday (8 hours)**:
- 8 hours or less, so use \( f(x) = 14x \):
\[
f(8) = 14(8) = 112
\]

3. **Wednesday (8 hours)**:
- 8 hours or less, so use \( f(x) = 14x \):
\[
f(8) = 14(8) = 112
\]

4. **Thursday (8 hours)**:
- 8 hours or less, so use \( f(x) = 14x \):
\[
f(8) = 14(8) = 112
\]

5. **Friday (10 hours)**:
- More than 8 hours, so use \( f(x) = 16x - 16 \):
\[
f(10) = 16(10) - 16 = 160 - 16 = 144
\]

Now we will add up the earnings for the week:

\[
176 \, (\text{Monday}) + 112 \, (\text{Tuesday}) + 112 \, (\text{Wednesday}) + 112 \, (\text{Thursday}) + 144 \, (\text{Friday}) = 656
\]

Thus, Garrett will make **$656 for the week**.

So the correct response is:
He will make $656.