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Activity 1 - 12

Lab 1–12. Activity 1 - 12. Summer Job Opportunities. Objectives. Use problem solving skills to make decisions based on solutions of mathematical models. Vocabulary. None new. Sales Job.

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Activity 1 - 12

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  1. Lab 1–12 Activity 1 - 12 Summer Job Opportunities

  2. Objectives • Use problem solving skills to make decisions based on solutions of mathematical models

  3. Vocabulary • None new

  4. Sales Job A new electronics store opened recently. There are several sales associate positions that pay an hourly wage of $7.25 plus a 5% commission based on your total weekly sales. You would be guaranteed at least 30 hours of work per week, but not more than 40 hours.

  5. Sales Job Questions At the electronics store, sales associates average $8000 in sales each week. • Based on the average, calculate your gross weekly check, if you worked a full 40 hour week in sales • Write an equation using the weekly average sales figure of $8000, s as your weekly earnings and x the total number of hours you work. • What would be your paycheck if you only had 30 hours? • You are told you would typically work 35 hours per week if your total sales average $8000. Calculate your typical gross paycheck. • You calculate that you need to gross at least $675 a week to pay college expenses. How many hours would you have to work?

  6. Construction Job Your state’s highway department hires college students every summer to help with road construction projects. The hourly rate is $13.50 with the possibility of up to 10 hours per week in overtime, for which you would be paid time and a half. Of course, the work is totally dependent on good weather, and so the number of hours that you would work per week could vary.

  7. Construction Job Questions At the construction job, you would average a 40-hour work week. • Calculate your gross paycheck for a typical 40-hour work week • Write an equation, for a week with no overtime, with s as your weekly earnings and x the total number of hours you work. • With ideal weather, you can expect to work 10 hours in overtime. Calculate your ideal gross paycheck. • Change your equation in b) to reflect working greater than 40 hours. • With great weather, you might make enough to get a new computer. You figure you would need to gross $800 a week to get the computer. How many hours would you have to work each week to achieve your goal?

  8. Restaurant Job There are several positions for wait staff at local restaurants. The hourly rate is $3.60 and the weekly tip total ranges from $300 to $850. You are told that you can expect a weekly average of approximately $520 in tips. You would be scheduled to work 5 dinner shifts of 6.5 hours each for a total of 32.5 hours per week. However, on slow nights you might get sent home early, perhaps after working only 5 hours. Thus, your total weekly hours might be fewer than 32.5.

  9. Restaurant Job Questions The restaurant job involves working a maximum of 5 dinner shifts of 6.5 hours each per week. Calculate what your gross paycheck would be for an • exceptionally busy week with five 6.5-hour shifts and $850 in tips. • exceptionally slow week with five 5-hour shifts and $300 in tips. • typical week with five 6.5-hour shifts and $520 in tips.

  10. Restaurant Job Questions The restaurant job involves working a maximum of 5 dinner shifts of 6.5 hours each per week. • Use $520 as you typical week total for tips and write an equation for your gross weekly salary, s, where x represents hours worked. • Calculate what your gross paycheck would be for a 27-hour week and $520 in tips. • During the holiday week of July 4, you would be asked to work an extra dinner shift. You are told to expect $280 in tips that night alone. Assuming a typical work-week for the rest of the week, would working that extra dinner shift enable you to gross at least $950 for that week?

  11. Job Comparisons Based on all information you have about the three jobs, fill in the following table

  12. Job Comparisons Money may not be the only factor in making your decision. Discuss the advantages and disadvantages of each position. What would be your personal choice? Why?

  13. Indoor Job Comparisons You are taking a medicine that the doctor says to limit your exposure to the sun. Use the algebraic equations you developed for the two indoor jobs to calculate how many hours you would have to work in each job to receive the same weekly salary.

  14. Summary and Homework • Summary • Evaluating real-world choices using mathematical models • Homework • turn in completed worksheet for a grade

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