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Project: Summer Job!You are looking for a job so that you can save money for college next year. You begin to look around and find 3 possible jobs for next summer:Working at an electronics store that needs sales people, Construction work with the state road crewWaitstaff at a new restaurantMinimum Wage in Illinois:If you are under 18 years of age, minimum wage in Illinois is $7.75 per hour. If you are over 18 years you would earn $8.25 per hour.For jobs which involve tipping, the employer may pay $4.65 for the first 90 days of work (for employees 18 years and older). After 90 days, it increases to $4.95 per hour.Here is information about each position:Electronic SalesThe pay is an hourly rate of $7.75 (or $8.25 if you are over 18 years old) plus a 5% commission based on your weekly total sales. You would be guaranteed at least 30 hours per week, never more than 40 hours.ConstructionThe hourly rate is $11.75 with the possibility of up to 10 hours per week of overtime, for which you would be paid time and a half. The work depends on the weather, so the number of hours you would work would vary.RestaurantsThere are several restaurants that need servers during the summer. The hourly rate is $4.65, and the weekly tip totals range from $200 to $750. You are told that you may expect a weekly average of $350 in tips. You would be scheduled to work five dinners shifts of 6.5 hours each for a total of 32.5 hours per week. However, on slow nights you may be sent home early. Thus your weekly hours may be less than 32.5All of the jobs seem interesting to you, but you are mainly interested in earning the most money you can for college expenses. You explore each job more thoroughly to find out more information At the electronics store, sales associates average $5000 in sales each week.Based on this average, what would your weekly commission be? .05(5000) = 250 -> $250 per weekWrite the expression you would use to calculate your hourly earnings Use h for number of hours of work (not including commission).7.75hWhat would hourly earnings be for a 30-hour week? (not including commission)7.75(30) = $232.50 What would you earn (hourly) if you work a full 40-hour week? (not including commission)7.75(40) = $310What would your gross paycheck be if you worked 30 hours and sold $5000 in merchandise7.75(30) + 250 = $482.50Now write an equation for your weekly earnings, w, where h represents the total number of hours that you may work, assuming average weekly sales of $5000.w = 7.75h + 250Using your equation (f), calculate your gross paycheck for a week if you worked 40 hours and sold $5000 in merchandise?w = 7.75(40) + 250 = 310+ 250 = $560You find out that if your total sales average $5000 per week, you would typically be scheduled to work 35 hours per week. Calculate your gross paycheck for a week.w = 7.75(35) + 250 = $521.25You sit down and calculate that you will need at least $500 per week to pay for college expenses. How many hours would you have to work in your sales job each week? (Assume that you would sell $5000 in merchandise.)500 = 7.75h + 250 h = 32.26 ~ 33 hoursIn the construction job, you would average a 40-hour work week.Calculate your gross paycheck for a typical 40-hour week. 11.75(40) = $470Write an expression for your weekly pay, using h for hours worked.11.75hWrite an equation for your weekly salary, w, for gross pay with no overtime. Let h represent number of hours worked.w = 11.75hHow much would you be paid for each hour of overtime worked? Overtime pay is calculated at time and a half, i.e. (hourly wage x 1.5).11.75(1.5) = 17.625 ~ $17.63If the weather is nice, you can expect to work 10 hours in overtime (over and above the regular 40-hour work week). Determine your total gross pay for a week with 10 hours of overtime.w = 470 + 10(17.63) -> w = $646.30Now write an equation to determine your weekly gross salary, w, when your number of hours, h, is greater than 40 hours.w = 11.75(40) + 17.63(h – 40) orw = 470 + 17.63(h – 40)You need to buy a new computer for college, which would require weekly gross earnings of $800. How many hours would you need to work (including overtime) each week to make enough money for college expenses, including the computer you want? Would you be allowed to work that many hours?800 = 470 + 17.63(h-40)h = 58.72 hrs You probably wouldn’t work that many hours each week.The restaurant job involves working a maximum of five dinner shifts of 6.5 hours each. Calculate your gross paycheck for a busy week of five 6.5 hour shifts and $650 in tips.6.5(4.65)(5) + 650 = $801.13Calculate your gross paycheck for an especially slow week of five 5 hour shifts and only $200 in tips.5(4.65)(5) + 200 = $316.25Calculate your gross paycheck for a typical week of five 6.5 hour shifts and $350 in tips.6.5(4.65)(5) + 350 = $501.13Using $350 as your typical weekly total for tips, write an equation for your gross weekly salary, w, where h represents number of hours.w = 4.65h + 350 Calculate your gross weekly paycheck for a week if you worked 27 hours and made $450 in tips.w = 4.65(27) + 450 -> w = $575.55During ISU’s Preview weekend, you worked an extra dinner shift. You are told to expect to make $200 in tips for that night alone. Assuming a typical workweek for the rest of the week, would working that extra shift enable you to gross at least $700?(using c. above for a typical week): w = 501.13 + 6.5(4.65) + 200 -> 501.13 + 230.23 = $731.36Yes, it would!To help you make an informed decision in choosing one of the three positions, you can organize a chart to help make a decision. Based on the information that you have calculated about the three jobs, fill in the following table.?Lowest Weekly Gross Paycheck (30 hr week)Typical Weekly Gross PaycheckHighest Weekly Gross PaycheckSales Associate482.50?521.25?560.00Construction Worker?352.50?470.00?646.30Waitstaff?316.25?501.13?731.36Money may be a big factor in making a decision, but you also need to consider your strengths and weaknesses when choosing a job. Discuss the advantages and disadvantages of each position. What would your personal choice be and why?(Answers will vary.)You decide that you prefer an indoor job. Use the algebraic rules you developed for the sales job in problem 1f and for the restaurant position in problem 3d to calculate how many hours you would have to work in each job to receive the same weekly salary.7.75h + 250 = 4.65h + 350 h = 32.28 hoursHow much are you actually making per hour as a waitperson (32.5 hours and tips of $350 per week) and as a sales associate (35 hours and $5000 in weekly sales)? How does that compare with the construction job hourly wage (with no overtime)? Does that influence your decision?Waitperson => 32.5(4.65) + 350 = 501.13 => $15.42 per hourSales => 35(7.75) + 250 = 521.25 => $14.89 per hourConstruction => 11.75(40) = 470 => $11.75 per hour(Answers will vary.) ................
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