Question

calculate the straight - time pay.
rita carlson works at a coffee house. she earns $8.75 per hour. last week she worked 28 hours. what was her straight - time pay?
find the straight - time pay: hourly rate × hours worked
$8.75 × 28 hours = $245 straight - time pay
review exercises
find the straight - time pay.

1. $6.55 per hour, 40 hours worked
2. $8.96 per hour, 36 hours worked
3. $12.85 per hour, 19.5 hours worked
4. $8.755 per hour, 38.925 hours worked
5. ed gregory is a surveying technician earning $12.97 per hour. he worked 39 hours last week. what is his pay for the week?
6. algebra ron mason is a laborer. he earns $15.40 per hour. how many hours per week must he work if he wants to earn approximately $450.00 per week?

overtime pay (pp. 100 - 102)
figure out straight - time, overtime, and total pay.
tiffany newman earns $9.50 per hour for 40 hours and time and a half for overtime as a clerk for a circuit judge. if she worked 5 hours overtime, what is her total pay?
step 1: find the straight - time pay.
hourly rate × regular hours worked
$9.50 × 40 = $380.00 straight - time pay
step 2: find the overtime pay.
overtime rate × overtime hours worked
(1.5 × $9.50) × 5 = $71.25 overtime pay
step 3: find the total pay.
straight - time pay + overtime pay
$380.00 + $71.25 = $451.25 total pay
review exercises
find the total pay.

1. $8.20 per hour for 40 hours and time and a half for 7 hours.
2. $9.65 per hour for 40 hours and time and a half for 5 hours.
3. cameron benson is a dental assistant. he earns $11.17 per hour and time and a half for overtime. last week he worked 40 hours plus 7 hours of overtime.
4. as a zookeeper, frank horton earns $15.35 an hour plus time and a half for weekend work. last week frank worked 40 hours plus 16 hours of overtime on the weekend.
5. algebra martha earns $16.50 an hour for a regular 40 hour week. her overtime pay is $1\frac{1}{2} times her regular hourly rate. this past week martha earned $948.75 in total pay. how many hours of overtime did she work this past week?

Explanation:

Step1: Calculate Q14 straight-time pay

$\$6.55 \times 40 = \$262.00$

Step2: Calculate Q15 straight-time pay

$\$8.96 \times 36 = \$322.56$

Step3: Calculate Q16 straight-time pay

$\$12.85 \times 19.5 = \$250.575 \approx \$250.58$

Step4: Calculate Q17 straight-time pay

$\$8.755 \times 38.925 = \$340.888375 \approx \$340.89$

Step5: Calculate Q18 straight-time pay

$\$12.97 \times 39 = \$505.83$

Step6: Calculate Q19 required hours

$\frac{\$450.00}{\$15.40} \approx 29.22$ hours

Step7: Calculate Q20 total pay

Straight-time: $\$8.20 \times 40 = \$328.00$
Overtime rate: $1.5 \times \$8.20 = \$12.30$
Overtime pay: $\$12.30 \times 7 = \$86.10$
Total pay: $\$328.00 + \$86.10 = \$414.10$

Step8: Calculate Q21 total pay

Straight-time: $\$9.65 \times 40 = \$386.00$
Overtime rate: $1.5 \times \$9.65 = \$14.475$
Overtime pay: $\$14.475 \times 5 = \$72.375$
Total pay: $\$386.00 + \$72.375 = \$458.375 \approx \$458.38$

Step9: Calculate Q22 total pay

Straight-time: $\$11.17 \times 40 = \$446.80$
Overtime rate: $1.5 \times \$11.17 = \$16.755$
Overtime pay: $\$16.755 \times 7 = \$117.285$
Total pay: $\$446.80 + \$117.285 = \$564.085 \approx \$564.09$

Step10: Calculate Q23 total pay

Straight-time: $\$15.35 \times 40 = \$614.00$
Overtime rate: $1.5 \times \$15.35 = \$23.025$
Overtime pay: $\$23.025 \times 16 = \$368.40$
Total pay: $\$614.00 + \$368.40 = \$982.40$

Step11: Calculate Q24 overtime hours

Straight-time pay: $\$16.50 \times 40 = \$660.00$
Overtime pay: $\$948.75 - \$660.00 = \$288.75$
Overtime rate: $1.5 \times \$16.50 = \$24.75$
Overtime hours: $\frac{\$288.75}{\$24.75} = 11.666... \approx 11.67$ hours

Answer:

1. $\$262.00$
2. $\$322.56$
3. $\$250.58$
4. $\$340.89$
5. $\$505.83$
6. Approximately 29.22 hours
7. $\$414.10$
8. $\$458.38$
9. $\$564.09$
10. $\$982.40$
11. Approximately 11.67 hours