Use the table to answer the question.

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 $736.
He will make $736.

He will make $644.
He will make $644.

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

He will make $656.

Answer 1

To calculate how much Garrett makes for the week based on the hours worked each day and the provided piecewise function, we can break it down day by day.

The piecewise function defines his pay as:

• f(x) = 14x for 0 ≤ x ≤ 8
• f(x) = 16x - 16 for 8 < x ≤ 24

Now, we will calculate his pay for each day:

1. Monday: 12 hours

   • More than 8 hours, so we use the second part of the function:
   • f(12) = 16(12) - 16 = 192 - 16 = $176

2. Tuesday: 8 hours

   • 8 hours or less, so we use the first part of the function:
   • f(8) = 14(8) = $112

3. Wednesday: 8 hours

   • 8 hours or less, so we use the first part of the function:
   • f(8) = 14(8) = $112

4. Thursday: 8 hours

   • 8 hours or less, so we use the first part of the function:
   • f(8) = 14(8) = $112

5. Friday: 10 hours

   • More than 8 hours, so we use the second part of the function:
   • f(10) = 16(10) - 16 = 160 - 16 = $144

Now, let's calculate the total amount Garrett will make for the week:

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

Therefore, Garrett will make $656 for the week.