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Marcus works at Just Chillin' ice cream shop. He earns [tex]\$10.75[/tex] per hour. Use Marcus's timesheet for the week to answer the questions.

a. Complete the table with how many hours Marcus worked each day and his total hours for the week. Calculate and show your work. State the hours Marcus worked each day as a decimal (example: 2.25 hours).

Helpful Hint:
- 15 min = 0.25 hr
- 30 min = 0.5 hr
- 45 min = 0.75 hr

b. How much money did Marcus earn for the week? Show all steps of your work for credit.

c. Marcus was offered a position with Out of Cone-trol, which pays a salary of [tex]\$160[/tex] every week plus a 25 cent ([tex]\$0.25[/tex]) commission for each ice cream cone he sells. Marcus sells an average of 128 ice cream cones each week. How much will Marcus make in the new position per week? Show all steps of your work for credit.

d. Compare the new ice cream position (see Part C) to how much he made for a week at his current job (see Parts A and B). Should he take the new position? Name the position he should choose; do not just write/type B or C. Why or why not? Be complete in your explanation and state what the wages are for each job in your explanation.

Answer :

Let's work through each part of the problem step by step.

Part a: Calculating Hours Worked

Marcus works different hours each day of the week. Let's see how many hours he worked each day as a decimal:

- Monday: Marcus worked 7 hours and 30 minutes. In decimal form, 30 minutes is 0.5 hours. So, Monday's hours = 7 + 0.5 = 7.5 hours.
- Tuesday: He worked 6 hours and 45 minutes. In decimal form, 45 minutes is 0.75 hours. So, Tuesday's hours = 6 + 0.75 = 6.75 hours.
- Wednesday: He worked exactly 8 hours, so that's 8 hours.
- Thursday: He worked 7 hours and 15 minutes. In decimal form, 15 minutes is 0.25 hours. Thursday's hours = 7 + 0.25 = 7.25 hours.
- Friday: He worked 5 hours and 30 minutes. In decimal form, 30 minutes is 0.5 hours. Friday's hours = 5 + 0.5 = 5.5 hours.

Total hours worked in the week: Add up the hours from each day:
7.5 + 6.75 + 8 + 7.25 + 5.5 = 35.0 hours.

Part b: Earnings at Just Chillin'

Marcus earns [tex]$10.75 per hour at Just Chillin'. He worked a total of 35.0 hours for the week.

To calculate his weekly earnings:
Earnings = Total hours worked × Hourly rate
Earnings = 35.0 hours × $[/tex]10.75 = [tex]$376.25.

Part c: Earnings at Out of Cone-trol

At Out of Cone-trol, Marcus is offered a weekly salary of $[/tex]160, plus a 25-cent commission for each ice cream cone he sells. On average, he sells 128 cones per week.

To calculate his weekly earnings:
Commission earnings = Cones sold × Commission per cone
Commission earnings = 128 × [tex]$0.25 = $[/tex]32.00

Total earnings = Weekly salary + Commission earnings
Total earnings = [tex]$160 + $[/tex]32 = [tex]$192.00.

Part d: Comparing Jobs

Now, let's compare Marcus's earnings from both opportunities:

- Just Chillin': $[/tex]376.25 for the week
- Out of Cone-trol: $192.00 for the week

Marcus makes more at Just Chillin' than he would at Out of Cone-trol. Hence, Marcus should keep his job at Just Chillin' since it provides higher earnings for the week.

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