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 find out how much you earn on a Saturday if you work a 7.5-hour shift, we need to account for the additional 25% pay increase on top of your base hourly rate.

Step 1: Calculate the increased hourly rate

The base hourly rate is $24.08, and on Saturdays, you receive an extra 25%.

Increased hourly rate=24.08+(0.25×24.08)\text{Increased hourly rate} = 24.08 + (0.25 \times 24.08) =24.08+6.02=30.10= 24.08 + 6.02 = 30.10

Step 2: Calculate the total earnings for 7.5 hours

Now, multiply the increased hourly rate by the number of hours worked:

Total earnings=30.10×7.5=225.75\text{Total earnings} = 30.10 \times 7.5 = 225.75

Answer

You earn $225.75 on Saturday if you work a 7.5-hour shift.

Would you like more details or have any questions?

Here are five related questions to deepen your understanding:

  1. What would be your earnings for a 9-hour shift on a Saturday?
  2. How much would you earn in total if you worked both Saturday (7.5 hours) and a regular 8-hour weekday shift?
  3. How does your Saturday rate compare to your base rate as a percentage increase?
  4. What is your weekly income if you work 40 hours on weekdays and 7.5 hours on Saturday?
  5. How much would you earn on a Sunday if the pay rate were 50% more than the base rate?

Tip: Always check your pay rates for different days or overtime to maximize your earnings and know your worth!

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Math Problem Analysis

Mathematical Concepts

Percentage Increase
Multiplication
Hourly Wages

Formulas

Increased hourly rate = Base rate + (Percentage increase × Base rate)
Total earnings = Increased hourly rate × Hours worked

Theorems

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Suitable Grade Level

Grades 5-7