To calculate your total earnings on a Saturday with the given conditions, we'll start by determining the hourly rate for Saturday and then multiply it by the number of hours worked.

Step 1: Calculate the Saturday hourly rate

The additional pay on Saturday is 25% more than your base rate. Thus, the Saturday rate is:

$\text{Saturday rate} = \text{Base rate} + 25\% \text{ of Base rate}$

Given the base rate is $24.08, the Saturday rate becomes:

$\text{Saturday rate} = 24.08 + (0.25 \times 24.08) = 24.08 \times 1.25$

Calculating the Saturday rate:

$\text{Saturday rate} = 24.08 \times 1.25 = 30.10$

Step 2: Calculate the total earnings for the 7.5-hour shift

Now, multiply the Saturday rate by the number of hours worked:

$\text{Total earnings} = 30.10 \times 7.5$

Calculating the total earnings:

$\text{Total earnings} = 225.75$

Answer

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

Would you like any further details or have any questions?

Here are some related questions you might consider:

1. How would your earnings change if you worked an 8-hour shift on a Saturday?
2. What would be your total weekly earnings if you worked five regular days and one Saturday?
3. How much would you earn on a Sunday if your Sunday rate was 50% more than your base rate?
4. What is your monthly income if you work every Saturday in addition to your regular 5-day work week?
5. How much would you earn in overtime if you worked 2 extra hours on a Saturday?

Tip: Always double-check your hourly rates and pay differentials to ensure accurate calculations in your earnings!