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 a Saturday with an additional 25% pay, follow these steps:

  1. Base hourly rate: $24.08

  2. Additional pay on Saturday: 25% of $24.08
    25% of 24.08=0.25×24.08=6.0225\% \text{ of } 24.08 = 0.25 \times 24.08 = 6.02 Therefore, the new hourly rate on Saturday is: 24.08+6.02=30.1024.08 + 6.02 = 30.10

  3. Total earnings for 7.5 hours: 7.5×30.10=225.757.5 \times 30.10 = 225.75

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

Would you like more details or have any questions? Here are 5 related questions for further practice:

  1. What would your total earnings be for an 8-hour Saturday shift?
  2. How much extra do you earn on a 7.5-hour shift compared to a weekday shift?
  3. If you worked two consecutive Saturdays with the same hours, what would your total earnings be?
  4. How many hours would you need to work on a Saturday to earn $300?
  5. If your hourly rate increased by 10%, what would be your new Saturday rate?

Tip: To calculate percentages, multiply the percentage (in decimal form) by the base value.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Basic Arithmetic

Formulas

Percentage increase formula: Additional pay = Base rate * Percentage increase
Total earnings formula: Total earnings = Hourly rate * Number of hours

Theorems

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Suitable Grade Level

Grades 6-8