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, we need to account for the additional 25% increase in pay for Saturday hours. Here's how we do it:

Step 1: Calculate the Saturday hourly rate

  • Base hourly rate: $24.08
  • Additional 25% pay on Saturday = 0.25 × $24.08 = $6.02

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

Step 2: Multiply by the number of hours worked

Now, multiply the Saturday rate by the number of hours worked (7.5 hours): 30.10×7.5=225.75 dollars30.10 \times 7.5 = 225.75 \text{ dollars}

Conclusion:

You earn $225.75 for a 7.5-hour shift on Saturday.

Would you like further details on any part of this? Here are some related questions:

  1. How would the total earnings change if you worked a 10-hour shift on Saturday?
  2. What would be your weekly earnings if you worked 40 hours from Monday to Friday and 7.5 hours on Saturday?
  3. How much more do you earn on Saturday compared to a weekday for the same shift length?
  4. How can overtime pay rates affect your total earnings if you exceed 40 hours per week?
  5. How would the calculation change if Sunday had a 50% pay increase instead?

Tip: Always double-check percentage increases by multiplying the base rate by the percentage (e.g., 25% = 0.25) before adding to the original rate.

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Math Problem Analysis

Mathematical Concepts

Percentage Increase
Multiplication

Formulas

Saturday Hourly Rate = Base Rate + (Base Rate * Percentage Increase)
Total Earnings = Hourly Rate * Hours Worked

Theorems

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Suitable Grade Level

Grades 6-8