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 a Saturday with the additional 25% pay, follow these steps:

  1. Base hourly rate: $24.08
  2. Additional pay on Saturday: 25% of the base rate 25% of 24.08=0.25×24.08=6.0225\% \text{ of } 24.08 = 0.25 \times 24.08 = 6.02
  3. Saturday hourly rate: Add the additional pay to the base rate: 24.08+6.02=30.1024.08 + 6.02 = 30.10
  4. Total earnings for 7.5 hours: 7.5×30.10=225.757.5 \times 30.10 = 225.75

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

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. How much would you earn if you worked an 8-hour shift on Saturday?
  2. What would your earnings be for a 10-hour shift during the week?
  3. How much would you earn if your hourly rate was increased by 5%?
  4. How would your earnings change if the Saturday pay increase was 30% instead of 25%?
  5. What would your total weekly earnings be if you worked 40 hours during the week and 7.5 hours on Saturday?

Tip: When calculating percentage increases, always multiply the percentage (as a decimal) by the original amount to find the added value.

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Math Problem Analysis

Mathematical Concepts

Percentage
Multiplication
Addition

Formulas

Additional pay = Base rate * (Percentage increase)
Total hourly rate = Base rate + Additional pay
Total earnings = Hours worked * Total hourly rate

Theorems

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Suitable Grade Level

Grades 5-7