9514 1404 393
Answer:
gross pay: $1131.97
Step-by-step explanation:
Greg's total time for the week is ...
9 +8.25 +9.25 +11 +9.75 = 47.25 . . . . hours
Assuming hours over 40 are overtime hours, this represents ...
47.25 -40 = 7.25 . . . overtime hours
Greg's regular pay is ...
$22.25/h × 40 h = $890 . . . regular pay
Greg's overtime pay is ...
$22.25 × 1.5 × 7.25 = $241.96875 ≈ $241.97 . . . overtime pay
Greg's gross pay is the sum of his regular pay and overtime pay:
gross pay = $890 +241.97 = $1131.97
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<em>Alternate solutions</em>
Once we find that Greg's total hours are 47.25, of which 7.25 are overtime hours, we can add half the overtime hours to get 47.25 +(1/2)(7.25) = 50.875. Greg's gross pay will be equivalent to straight-time pay for this number of hours: $22.25 × 50.875 = 1131.96875 ≈ 1131.97.
Yet another way to solve this is to multiply total hours by the overtime pay rate and subtract an amount to make up for the fact that 40 hours are not paid at that rate. If the OT rate is pre-computed, this only takes two mathematical operations: one multiplication and one subtraction.
OT rate = 1.5 × 22.25 = 33.375
gross pay = (47.25 h)×($33.375/h) -445 = $1131.97
