Question

Use the table to answer the question.

This table shows the number
of hours worked each day
from Monday to Friday.
Hours Worked

12 hours

8 hours

Wednesday 8 hours

Thursday

Friday

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.

14x,

(1 point)

He will make $644.

He will make $736.

He will make $656.

He will make $46.

Days

Monday

Tuesday

8 hours

10 hours

Answer 1

First, the pay rule:
- If x ≤ 8: pay = 14x
- If x > 8: pay = 112 + 16(x − 8) = 16x − 16

Daily hours (Mon–Fri): 12, 8, 8, 10, 8

Daily pay:
- Monday (12): 16(12) − 16 = 192 − 16 = $176
- Tuesday (8): 14(8) = $112
- Wednesday (8): 14(8) = $112
- Thursday (10): 16(10) − 16 = 160 − 16 = $144
- Friday (8): 14(8) = $112

Total = 176 + 112 + 112 + 144 + 112 = $656

Answer: He will make $656.