Straight/Overtime Pay
Functions
Time Cards
Piecework/Salary
Commission
(Straight/Graduated)
(Straight/Graduated)
100
Jamal earns $14.25 per hour at a hardware store. This week he worked 24 hours. What was his gross pay?
$342
100
A tutor charges $25 per hour: w(h)=25h . Find and interpret w(6) .
w(6)=$150
6 hours of tutoring costs $150
100
An employee clocked in at 8:00 AM and clocked out at 4:30 PM, with no lunch break. How many total hours did she work that day?
8:30 or 8.5 hours
100
An employee earns an annual salary of $52,000, paid biweekly. How much is each paycheck?
$2,000
100
A car salesperson earns a straight 3.5% commision on sales. She sold a car for $28,000. What is her commision?
$980
200
Sofia received a paycheck of $378.00 for working 28 hours at a bakery. What is her hourly wage?
$13.50 per hour
200
A part-time cashier earns $15 per hour and can work between 8 and 20 hours per week. State a reasonable domain and range for her wage function
w(h)=15h
Domain: 8<=h<=20
Range: 120<=w<=300
200
An employee clocked in at 9:15 AM, out for lunch at 1:00 PM, back in at 1:45 PM, and clocked out at 6:30 PM. How many total hours did she work that day?
3:45 + 4:45 = 7:90 = 8:30 or 8.5 hours
200
A worker is paid $2,850 semi-monthly. What is her annual salary?
$68,400
200
An insurance agent earned a commission of $1,250 on a policy. If her commission rate was 5%, what was the value of the policy she sold?
$25,000
300
Carlos earns $19 per hour with time-and-a-half overtime. This week he worked 46 hours. What was his total gross pay?
Straight time = $760
Overtime = $171
Total = $931
300
A gym charges $40 for a monthly pass covering up to 10 visits. Each visit beyond 10 costs $5 more. Write a piecewise function f(v) for total monthly cost based on number of visits, v.
300
An employee worked the following hours this week:
Monday: 8 Tuesday: 8.5 Wednesday: 7.5 Thursday: 8 Friday: 9
Her regular rate is $16/hour with time-and-a-half overtime over 40 hours/week. Calculate her gross pay.
Total: 41 hours
Straight time = $640
Overtime = $24
Total = $664
300
A craftsperson is paid $12 for each item she assembles. This week she assembled 47 items and worked 36 hours. What was her gross pay and what was her effective hourly rate, rounded to the nearest cent?
Gross pay = $564
Hourly rate = $15.67 per hour
300
A boat sold for $180,000, and the agent earned an $8,100 commission. What commission rate did the agent earn?
4.5%
400
Priya earns $22 per hour, with double time on holidays. This week she worked 35 regular hours plus 8 hours on a holiday, paid at double time. What was her total gross pay for the week?
Straight time = $770
Overtime = $352
Total = $1,122
400
Using the gym's piecewise function below, find f(10) and f(14) and interpret each result.
f(10) = $40 This means that since the visits are at 10 or less, the cost is the base price of $40
f(14)=$60 This means that the base price of 40 plus 4 visits at $5/each (or $20) would be the cost for 14 visits
400
A worker earns $18.40/hour with 1.5x overtime for hours over 40 per week. This week she worked the following hours:
Monday: 8.5 Tuesday: 8.75 Wednesday: 8.25 Thursday: 8.5 Friday: 8.75
Suppose the company policy changes and she is now paid overtime for any hours over 8 in a single day. What is the difference between her new pay and her old pay?
Total hours: 42.75
Old pay: 736 (ST) + 75.90 (OT) = $811.90
New pay: $745.20 (ST) + $62.10 (OT) = $807.30
Difference: $4.60
400
A shop is deciding between paying a worker $19/hour or $3.25 per piece assembled. She can assemble 6 pieces per hour and works a 35-hour week. Which method pays her more? How much more?
Hourly: $665
Piecework: $682.50
Piecework pays her $17.50 more
400
Diego sold $5,000 in merchandise. Using the commission table below, calculate his commission.
$20 + $80 + 120 = $220
500
Andre earns $17.50 per hour, with time-and-a-half overtime on hours over 40 per week. This week he worked 33 hours Monday-Friday, plus 10 hours on the weekend, which his company pays at a flat double-time rate. Calculate his gross pay.
Straight Time = $577.50
Overtime (1.5) = 0
Overtime (double) = $350
Total = $927.50
500
A rideshare driver earns $20 per hour straight time, with time-and-a-half for any hours over 40 in a week. Write a piecewise function g(h) for weekly pay based on hours worked, h. Then find g(50) and interpret your result.
g(50)=$950 This means you worked 50 hours and earned $950 (40 hours straight time and 10 hours of overtime).
500
An employee has the time card below. What are her total hours for the week?
Monday 8
Tuesday 8:45
Wednesday 7:15
Thursday 9:30
Friday 6
Total: 39.5 hours
500
Janine earns a biweekly salary of $2,200 at her current job. She's offered a new position paying $20 per hour with 1.5 times pay for hours over 40 in a week. Assuming she works exactly 40 regular hours each week at the new job, how many overtime hours per week would she need to work for the new job's weekly pay to match her current weekly pay?
Current weekly pay = $1,100
800 + 30x = 1100
x = 10 hours
500
Malik sold $2,200 in merchandise. Using the commision table below, calculate his commission.
$20 + $48 = $68