Question

1. steven kellogg, a jet airplane mechanic, works at an hourly rate of $36 and earns time and a half if he works any overtime. last week he worked 37 hours plus 8 hours overtime. what are his (a) straight - time pay, (b) overtime pay, and (c) total pay?
2. rick haskins is paid $18 an hour as a pastry chef for a regular 35 - hour week. his overtime rate is 1.5 times his regular hourly rate. this week he worked his regular 35 hours plus 8 hours of overtime. what is rick’s total pay?
3. as a case worker, bonnie armstrong earns $13.47 an hour plus time and a half for weekend work. last week she worked her regular 40 hours plus 8 hours of overtime on the weekend. what was her total pay for the week?
4. george keller, a small - engine mechanic, earns a regular hourly rate of $15.68. for overtime, he earns time and a half on saturdays and double time on sundays. this week he worked his regular 40 hours plus 8 hours on saturday and 7 hours on sunday. what is george’s total pay for the week?

Explanation:

Step1: Calculate straight-time pay

Straight-time pay = Regular hours × Hourly rate
$\text{Straight-time pay} = 37 \times 36 = 1332$

Step2: Calculate overtime hourly rate

Overtime rate = 1.5 × Regular hourly rate
$\text{Overtime rate} = 1.5 \times 36 = 54$

Step3: Calculate overtime pay

Overtime pay = Overtime hours × Overtime rate
$\text{Overtime pay} = 8 \times 54 = 432$

Step4: Calculate total pay

Total pay = Straight-time pay + Overtime pay
$\text{Total pay} = 1332 + 432 = 1764$

Step1: Calculate straight-time pay

Straight-time pay = Regular hours × Hourly rate
$\text{Straight-time pay} = 35 \times 18 = 630$

Step2: Calculate overtime hourly rate

Overtime rate = 1.5 × Regular hourly rate
$\text{Overtime rate} = 1.5 \times 18 = 27$

Step3: Calculate overtime pay

Overtime pay = Overtime hours × Overtime rate
$\text{Overtime pay} = 8 \times 27 = 216$

Step4: Calculate total pay

Total pay = Straight-time pay + Overtime pay
$\text{Total pay} = 630 + 216 = 846$

Step1: Calculate straight-time pay

Straight-time pay = Regular hours × Hourly rate
$\text{Straight-time pay} = 40 \times 13.47 = 538.80$

Step2: Calculate weekend overtime rate

Weekend rate = 1.5 × Regular hourly rate
$\text{Weekend rate} = 1.5 \times 13.47 = 20.205$

Step3: Calculate weekend overtime pay

Weekend pay = Weekend hours × Weekend rate
$\text{Weekend pay} = 8 \times 20.205 = 161.64$

Step4: Calculate total pay

Total pay = Straight-time pay + Weekend pay
$\text{Total pay} = 538.80 + 161.64 = 700.44$

Step1: Calculate straight-time pay

Straight-time pay = Regular hours × Hourly rate
$\text{Straight-time pay} = 40 \times 15.68 = 627.20$

Step2: Calculate Saturday overtime rate

Saturday rate = 1.5 × Regular hourly rate
$\text{Saturday rate} = 1.5 \times 15.68 = 23.52$

Step3: Calculate Saturday overtime pay

Saturday pay = Saturday hours × Saturday rate
$\text{Saturday pay} = 8 \times 23.52 = 188.16$

Step4: Calculate Sunday overtime rate

Sunday rate = 2 × Regular hourly rate
$\text{Sunday rate} = 2 \times 15.68 = 31.36$

Step5: Calculate Sunday overtime pay

Sunday pay = Sunday hours × Sunday rate
$\text{Sunday pay} = 7 \times 31.36 = 219.52$

Step6: Calculate total pay

Total pay = Straight-time + Sat + Sun pay
$\text{Total pay} = 627.20 + 188.16 + 219.52 = 1034.88$

Answer:

(a) $\$1332$
(b) $\$432$
(c) $\$1764$

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