Use the table to answer the 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 $656.
He will make $656.
He will make $46.
He will make $46.
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He will make $656.
To calculate his earnings for the week, we can plug the hours worked each day into the piecewise function and add them up:
Monday: 12 hours, so f(12) = 16(12) = $192
Tuesday: 8 hours, so f(8) = 14(8) = $112
Wednesday: 8 hours, so f(8) = 14(8) = $112
Thursday: 8 hours, so f(8) = 14(8) = $112
Friday: 10 hours, so f(10) = 14(8) + 16(2) = $144 + $32 = $176
Total earnings for the week:
$192 + $112 + $112 + $112 + $176 = $704
Therefore, Garrett will make $656 for the week.