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 how much you earn for a 7.5-hour shift on Saturday, given your base hourly rate of $24.08 and the additional 25% pay on Saturdays, follow these steps:

  1. Base hourly rate: $24.08
  2. Saturday additional pay: 25% of $24.08 = 0.25×24.08=6.020.25 \times 24.08 = 6.02

So, your total hourly rate on Saturday is: 24.08+6.02=30.10 per hour24.08 + 6.02 = 30.10 \text{ per hour}

  1. Total earnings for a 7.5-hour shift: 30.10×7.5=225.7530.10 \times 7.5 = 225.75

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

Would you like more details or have any questions?

Here are 5 related questions you might explore:

  1. What would your earnings be for an 8-hour shift on a Saturday?
  2. How much would you earn for a full 40-hour week including one Saturday shift?
  3. What is your total pay if you worked three Saturdays, each with a 7.5-hour shift?
  4. How does your Saturday rate compare to the rate for an overtime shift on a weekday?
  5. What would be your pay if you worked a 5-hour shift on Saturday?

Tip: When calculating pay with percentage increases, always remember to first find the additional percentage of the base rate before adding it to the original.

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Math Problem Analysis

Mathematical Concepts

Percentages
Multiplication
Addition

Formulas

Additional pay = Base rate * Percentage increase
Total hourly rate = Base rate + Additional pay
Total earnings = Total hourly rate * Hours worked

Theorems

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Suitable Grade Level

Grades 6-8