To calculate Garrett's total earnings for the week based on the hours he worked each day and the piecewise function provided, we first break down his pay for each day:
-
Monday (12 hours):
- First 8 hours: \( 8 \times 14 = 112 \)
- Overtime (4 hours): \( 4 \times 16 = 64 \)
- Total for Monday: \( 112 + 64 = 176 \)
-
Tuesday (8 hours):
- Total: \( 8 \times 14 = 112 \)
-
Wednesday (8 hours):
- Total: \( 8 \times 14 = 112 \)
-
Thursday (8 hours):
- Total: \( 8 \times 14 = 112 \)
-
Friday (10 hours):
- First 8 hours: \( 8 \times 14 = 112 \)
- Overtime (2 hours): \( 2 \times 16 = 32 \)
- Total for Friday: \( 112 + 32 = 144 \)
Now, let's sum up the total earnings for the week:
- Monday: \( 176 \)
- Tuesday: \( 112 \)
- Wednesday: \( 112 \)
- Thursday: \( 112 \)
- Friday: \( 144 \)
Calculating the total for the week:
\[ 176 + 112 + 112 + 112 + 144 = 656 \]
Garrett will make $656 for the week.
So, the correct response is: He will make $656.