Question

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.
​

Answer 1

J.B.'s gross earnings for the week are $868.30. To calculate this, you need to calculate his regular pay and overtime pay separately and then add them together. J.B. earns $16.60 an hour with time-and-a-half for hours worked over 8 a day.

Step-by-step explanation:

To determine J.B.'s gross earnings for the week, we need to calculate his regular pay and overtime pay separately and then add them together. J.B. earns $16.60 an hour, so for the hours worked up to 8 a day, he will earn $16.60 per hour. For the hours worked over 8 a day, he will earn time-and-a-half, which is $24.90 per hour.

Now let's calculate:

1. First day: 8.25 hours --> regular pay = 8.25 x $16.60 = $136.65
2. Second day: 8.25 hours --> regular pay = 8.25 x $16.60 = $136.65
3. Third day: 9.5 hours --> regular pay = 8 x $16.60 + 1.5 x ($16.60 x 9.5 - 8 x $16.60) = $156.60
4. Fourth day: 11.5 hours --> regular pay = 8 x $16.60 + 1.5 x ($16.60 x 11.5 - 8 x $16.60) = $215.90
5. Fifth day: 7.25 hours --> regular pay = 7.25 x $16.60 = $120.05

To calculate the total regular pay, we add up the regular pay for each day: $136.65 + $136.65 + $156.60 + $215.90 + $120.05 = $765.85

Now let's calculate the total overtime pay:

1. Third day: 1.5 x ($16.60 x 9.5 - 8 x $16.60) = $32.10
2. Fourth day: 1.5 x ($16.60 x 11.5 - 8 x $16.60) = $70.35

To calculate the total gross earnings, we add up the total regular pay and total overtime pay: $765.85 + $32.10 + $70.35 = $868.30

Therefore, J.B.'s gross earnings for the week are $868.30.

Answer 2

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