J. B. earns $16.60 an hour with time-and-a-half for hours worked over 8 a day. His hours for a week are 8.25, 8.25, 9.5, 11.5, and 7.25. Determine his gross earnings

for that week.

The gross pay for the week is $701.32

Step-by-step explanation:

J.B. earns $16.60 per hour, and half of it ($16.60/2) for each hour worked over the 8th-hour range.

On the first day, he works 8.25 hours.

We have 8 hours, plus 0.25 hours past the limit, then for the first day he wins:

8*$16.60 + 0.25*($16.60/2) = $134.86

On the second day, he works again 8.25 hours, so he wins the same amount $134.86

On the third day, he works 9.5 hours, then:

We have 8 hours plus 1.5 hours past the limit, then for this day he wins:

8*$16.60 + 1.5*$16.60/2 = $145.25

On the fourth day, he works 11.5 hours, then:

We have 8 hours plus 3.5 hours pást the limit, then for this day he wins:

8*$16.60 + 3.5*$16.60/2 = $161.85

For the last day, he works 7.25 hours, (in this case, we do not have hours worked over the 8-hour limit) then this day he wins:

7.25*$16.60 = $124.50

The gross pay for this week will be equal to:

G = $134.86 + $134.86 +  $145.25 + $161.85 + $124.50 = $701.32