Math 10E Section Piecework Hourly Rate and Overtime Rate

Transcription

1 Math 10E Section Piecework Hourly Rate and Overtime Rate Definition: Some workers are paid by piecework, that is, they are paid based on each unit they produce or sell. Earnings may be based on salary plus piecework or straight piecework. Example 1 Al works part time at a large sports facility selling magazines. He is paid by piecework. He earns $15 per game plus 30 for each magazine he sells. Find Al s total earnings when he sells 113 magazines at one game. Step 1: Calculate his piecework earnings Step 2: Calculate his total earnings

2 Practice 1) Mary builds wheelbarrows. One day she builds 100 wheelbarrows and is paid $2.50 per wheelbarrow. a) What are her earnings? b) If she builds 100 wheelbarrows for 20 straight workdays, what are her earnings during this time? c) Mary works 100 days a year. If she makes the same number of wheelbarrows each day, how much will she earn in a year? 2) Mary Beth is paid 9 for each envelope she stuffs. One week she was able to stuff 3276 envelopes. What was Mary Beth s pay for the week? Earnings = Piece rate # of items

3 3) Johnny is paid $18 a day plus 75 for each item he sells. Johnny sells 244 items on Monday. What are Johnny s earnings for Monday? Earnings = Salary + Piece rate # of items 4) Complete the following table for each person. Round amounts of money to the nearest cent. Name Annual Salary Weekly Earnings A) Kyle $ Monthly Earnings B) Kayla $322 C) Brad $2335 5) Which person has the higher annual salary: Jackie, who earns $428 a week, or Bob, who earns $1672 each month? Explain

4 6) Kevin works as a commissionaire at the Aberdeen Hospital. His biweekly pay is $ What is his annual salary? 7) Tommy works part time at the New Glasgow stadium. At each of the Crushers hockey games he is paid $12 plus 5 for each ticket he sells. At last weeks game he sold 321 tickets. What were Tommy s earnings for that game? 8) Blair has a job at Wal mart assembling bikes. He is able to assembly 7 bikes per day. a. If he is paid $8.50 for each bike he assembles, how much would he make for a days work? b. At this rate how much will Blair make for a 6 day work week?

5 Overtime Example Is usually for hours earned above and beyond a normal work week (typically above 40 hours). Time and a half Overtime rate is 1.5 times the hourly rate. If the hourly rate = $16.00/hour Overtime rate = 1.5 x $16.00 = $24.00/hour Jimmy has a job with the at a calculator factory. She is paid an hourly rate of $ He usually works 10 hours a day, 4 days a week. (a) Find his regular earnings for one week. Step 1: Calculate the number of regular hours he works in a week. Step 2: Calculate his regular earnings for the week. (b) If Jimmy works more than 40 hours a week, he is paid overtime for the extra hours. The overtime rate is 1.5 times the regular hourly rate. One week Jimmy worked 9 hours overtime. Find his total earnings for that week. Step 1: Calculate his overtime hourly rate. Step 2: Calculate his overtime earnings. Step 3: Calculate his total earnings for that week

6 Practice 1) Mark is paid $14 per hour for 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. His friend Marcus has a different job. Marcus is paid $12 per hour for a 38 hour a week. If Marcus works more than 38 hours a week, he is paid time and a half. If they both work 48 hours per week who is paid more? Step 1: Calculate the number of regular hours each person works in a week. Mark Calculator work: Marcus Calculator work: Step 2: Calculate each person s overtime hours. Mark Calculator work: Marcus Calculator work: Step 3: Calculate each person s overtime hourly rate. Mark Calculator work: Marcus Calculator work: Step 4: Calculate each person s overtime earnings. Mark Calculator work: Marcus Calculator work: Step 5: Calculate each person s total earnings for that week Mark Calculator work: Marcus Calculator work:

7 2) Sheena is paid $15 per hour for 45 hours a week. If she works more than 45 hours a week, he is paid time and a half. Her friend Sherry has a different job. Sherry is paid $13.50 per hour for a 42 hour a week. If Sherry works more than 42 hours a week, she is paid time and a half. If they both work 50 hours per week who is paid more? Step 1: Calculate the number of regular hours each person works in a week. Sheena Calculator work: Sherry Calculator work: Step 2: Calculate each person s overtime hours. Sheena Calculator work: Sherry Calculator work: Step 3: Calculate each person s overtime hourly rate. Sheena Calculator work: Sherry Calculator work: Step 4: Calculate each person s overtime earnings. Sheena Calculator work: Sherry Calculator work: Step 5: Calculate each person s total earnings for that week Sheena Calculator work: Sherry Calculator work:

8 Practice: Hourly Wages and Overtime 1. What does time and a half mean? 2. What kinds of jobs pay hourly wages? Give three examples For most jobs that pay hourly wages, how many hours are there in a regular work week? (Hint: after this number of hours, you get paid overtime). 4. Dwayne works as an orderly at the Colchester Hospital. He is paid $12.50 an hour. Find Dwayne s regular earnings for one week. Show your work. Calculator work: Dwayne s earnings: 5. After he has worked at the hospital for 6 months, Dwayne gets a raise and he is paid 25 more an hour. a) What is Dwayne s new hourly rate?. b) How much does Dwayne now earn in a regular work week? Show your work. Dwayne earns a week.

9 c) Dwayne usually works 40 hours a week, and he works 50 weeks a year. What would be a reasonable guess for Dwayne s annual income? Show your work. Calculator work: Dwayne s annual income: d) The hospital pays Dwayne overtime (time and a half) for hours more than 40 hours a week. Last week, Dwayne picked up an extra shift when a co worker was sick and he worked a total of 48 hours last week. How much did Dwayne earn last week? Show your work Calculator work: Dwayne s earnings: 6. John works full time as a cashier and is paid an hourly rate of $12.50 for 35 hours a week. He is paid for 52 weeks a year. What is his annual salary? Calculator work: John s annual income:

10 7. Sara stocks shelves at a grocery store. She earns $8.60 per hour and she works 37.5 hours a week. One week a large shipment arrives and Sara is asked to work 4.5 hours of overtime at time and half. What are her total earnings for this week? Calculator work: Sarah s earnings this week: 8. Find the regular earnings, overtime hours, overtime rate, overtime earnings, and total weekly earnings. Overtime is paid time and a half after 44 hours a week. Formulas (fill this in so you don t have to show work for the chart below ): Regular Earnings = Overtime Hours = Overtime Rate = Overtime Earnings = Total Weekly Earnings = Name Hours Worked Regular Hourly Rate($) Regular Hours Regular Earnings ($) Overtime Hours Overtime Rate($) Overtime Earnings ($) Total Weekly Earnings($) Bill Letitia Jay Tanya Will

11 9. Stan earns an annual salary of $ and his brother Tom earns $18.25 per hour for 35 hours a week. Tom gets paid for 52 weeks per year. a) How much more does Stan earn in one year than Tom? Calculator work Stan: Calculator work Tom: Calculator work: who earns more Final answer: earns more in one year b) If Tom worked 5 hours of overtime (at time and half) each week, how much would be make in one year? Which brother makes more money in one year now? Calculator work Tom: Calculator work: who earns more Final answer: earns more in one year