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 determine your Saturday earnings, we can follow these steps:

  1. Calculate the additional pay rate for Saturdays: Since you are paid an additional 25% on Saturdays, the extra rate is: 24.08×0.25=6.0224.08 \times 0.25 = 6.02 So, your Saturday hourly rate is: 24.08+6.02=30.10 per hour24.08 + 6.02 = 30.10 \text{ per hour}

  2. Calculate total earnings for a 7.5 hour shift: Multiply the Saturday rate by the number of hours worked: 30.10×7.5=225.7530.10 \times 7.5 = 225.75

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

Would you like further details, or have any questions? Here are some related questions:

  1. What would your earnings be if you worked an 8-hour shift on Saturday?
  2. How would your total earnings change if your base rate increased to $26?
  3. If you worked a double shift (15 hours) on a Saturday, what would be your pay?
  4. How much would you earn working the same shift on a weekday?
  5. What percentage of your total weekly earnings come from Saturday if you work 5 weekdays and 1 Saturday?

Tip: Always ensure you understand how percentage increases apply to your base salary for overtime or special days like weekends.

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Math Problem Analysis

Mathematical Concepts

Percentage increase
Multiplication
Basic Arithmetic

Formulas

Additional pay rate = base rate * percentage increase
Saturday rate = base rate + additional pay rate
Total earnings = hourly rate * hours worked

Theorems

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Suitable Grade Level

Grades 5-7