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 total earnings for a 7.5-hour shift on Saturday, given that your base hourly rate is $24.08 and you are paid an additional 25% per hour on Saturdays, we can follow these steps:

  1. Calculate the Saturday hourly rate:
    Since you earn an additional 25% on top of your base rate, the Saturday hourly rate will be: Saturday hourly rate=24.08+(0.25×24.08)\text{Saturday hourly rate} = 24.08 + (0.25 \times 24.08) Saturday hourly rate=24.08×1.25=30.10\text{Saturday hourly rate} = 24.08 \times 1.25 = 30.10

  2. Calculate the total earnings for 7.5 hours:
    Multiply the Saturday hourly rate by the number of hours worked (7.5): Total earnings=30.10×7.5=225.75\text{Total earnings} = 30.10 \times 7.5 = 225.75

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

Would you like more details or have any questions? Here are some related questions to expand on this:

  1. How much would you earn for a 5-hour shift on a Saturday?
  2. What is your total earnings if you work 5 days at your regular rate and 1 day on Saturday for 7.5 hours?
  3. What is the additional amount earned due to the Saturday rate increase?
  4. How would your earnings change if your base rate increased by 10%?
  5. How much more do you earn on a Saturday compared to a regular weekday?

Tip: To handle percentage increases, always multiply the original value by 1+percentage increase as a decimal1 + \text{percentage increase as a decimal}.

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Math Problem Analysis

Mathematical Concepts

Percentage Increase
Basic Arithmetic
Multiplication

Formulas

Saturday hourly rate = base hourly rate + (percentage increase × base hourly rate)
Total earnings = Saturday hourly rate × hours worked

Theorems

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Suitable Grade Level

Grades 6-8