Math Problem Statement

Your base hourly rate of pay is $24.08. On Saturdays, you are paid an additional 25% per hour. How much do you earn on Saturday if you work a 7.5 hour shift?

Solution

To calculate your earnings for a 7.5-hour shift on Saturday, you need to account for the additional 25% pay rate on top of your base hourly rate. Here's how you do it:

  1. Base hourly rate: $24.08

  2. Additional pay rate on Saturdays: 25% of $24.08

    Additional pay=0.25×24.08=6.02\text{Additional pay} = 0.25 \times 24.08 = 6.02

  3. Saturday hourly rate: $24.08 + $6.02 = $30.10

  4. Total earnings for 7.5 hours:

    Total earnings=7.5×30.10=225.75\text{Total earnings} = 7.5 \times 30.10 = 225.75

So, you would earn $225.75 for a 7.5-hour shift on Saturday.

Would you like more details or have any questions? Here are five related questions you might find helpful:

  1. How much would you earn if you worked 10 hours on Saturday?
  2. What is your total weekly earning if you work 40 hours during weekdays and 7.5 hours on Saturday?
  3. How would your earnings change if the Saturday bonus was 30% instead of 25%?
  4. What is the effective hourly rate across the week if you work 37.5 hours at the base rate and 7.5 hours on Saturday?
  5. How does this overtime pay compare to your earnings if you worked a public holiday with a 50% increase?

Tip: Knowing how to calculate additional pay for overtime or special shifts helps in budgeting and financial planning.

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Math Problem Analysis

Mathematical Concepts

Percentage
Multiplication
Basic Arithmetic

Formulas

Additional pay = Base hourly rate * Percentage increase
Saturday hourly rate = Base hourly rate + Additional pay
Total earnings = Saturday hourly rate * Number of hours worked

Theorems

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Suitable Grade Level

Grades 5-7