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 how much you earn on a Saturday for a 7.5-hour shift, we need to account for the additional 25% pay rate.

Step 1: Calculate the additional pay rate for Saturday

The additional pay rate is 25% of your base hourly rate.

Additional Pay Rate=0.25×24.08=6.02(dollars per hour)\text{Additional Pay Rate} = 0.25 \times 24.08 = 6.02 \, \text{(dollars per hour)}

Step 2: Calculate the total hourly rate on Saturday

Add the additional pay rate to your base hourly rate:

Total Hourly Rate on Saturday=24.08+6.02=30.10(dollars per hour)\text{Total Hourly Rate on Saturday} = 24.08 + 6.02 = 30.10 \, \text{(dollars per hour)}

Step 3: Calculate the total earnings for the 7.5-hour shift

Multiply the total hourly rate by the number of hours worked:

Total Earnings=30.10×7.5=225.75dollars\text{Total Earnings} = 30.10 \times 7.5 = 225.75 \, \text{dollars}

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

Would you like more details on any part of this calculation? Here are some related questions you might consider:

  1. What would be your earnings for an 8-hour shift on a Saturday?
  2. How much would you earn in a week if you worked two 7.5-hour shifts, one on Saturday and one on a weekday?
  3. How does the additional pay rate affect your annual income if you work every Saturday?
  4. What is your total monthly income if you work every Saturday and one weekday each week?
  5. How would your earnings change if the additional pay rate was 50% instead of 25%?

Tip: Always verify if there are any additional deductions or bonuses when calculating your final pay.

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Math Problem Analysis

Mathematical Concepts

Percentages
Multiplication
Addition

Formulas

Additional Pay Rate = Base Pay Rate × Percentage Increase
Total Hourly Rate = Base Pay Rate + Additional Pay Rate
Total Earnings = Total Hourly Rate × Hours Worked

Theorems

Percentage increase and calculation of total earnings

Suitable Grade Level

Grades 6-8