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 solve this problem:

  1. Base hourly rate: $24.08.
  2. Saturday bonus: You are paid an additional 25%, which means the total hourly rate is 125% of the base rate.
  3. Shift length: 7.5 hours.

Step-by-Step Solution:

  1. Calculate the new hourly rate: New hourly rate=24.08×1.25=30.10\text{New hourly rate} = 24.08 \times 1.25 = 30.10

  2. Calculate total earnings for 7.5 hours: Total earnings=30.10×7.5=225.75\text{Total earnings} = 30.10 \times 7.5 = 225.75

Final Answer:

You would earn 225.75 on a 7.5-hour shift on Saturday.

Do you want further details or have any questions?

Here are 5 related questions for further exploration:

  1. How would your total earnings change if the shift was 8 hours instead of 7.5?
  2. What would your Saturday pay be if you worked overtime at time-and-a-half for 2 hours?
  3. How much would you earn if the Saturday rate increased to 30% above base pay?
  4. How does your weekly earnings change if you worked one extra 7.5-hour shift during the week?
  5. What is the difference in earnings between a Saturday and a weekday for a 7.5-hour shift?

Tip: Always ensure that any additional pay (like a percentage increase) is calculated on top of the base pay!

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Math Problem Analysis

Mathematical Concepts

Percentages
Multiplication
Basic Arithmetic

Formulas

New hourly rate = Base hourly rate * (1 + Percentage increase)
Total earnings = New hourly rate * Number of hours worked

Theorems

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Suitable Grade Level

Grades 6-8