To solve the problem:

1. The base hourly rate is $24.08.

2. You get an additional 25% on Saturdays. This means the total hourly rate on Saturdays is: $\text{Total rate} = 24.08 + (0.25 \times 24.08)$ $\text{Total rate} = 24.08 \times 1.25 = 30.10$

3. You work 7.5 hours on Saturday, so your total earnings for the shift would be: $\text{Total earnings} = 30.10 \times 7.5$

Now I'll calculate this:

$30.10 \times 7.5 = 225.75$

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

Would you like any further explanation, or do you have more questions?

Here are 5 related questions to expand your understanding:

1. How would your earnings change if the Saturday shift was 8 hours instead of 7.5?
2. If you only received a 20% Saturday pay increase, what would your earnings be?
3. What is your total weekly income if you worked a 40-hour week at the base rate?
4. How much additional income do you earn just from the Saturday bonus?
5. How would your earnings change if your base rate increased to $25?

Tip: When calculating percentage increases, multiplying by $1 + \text{percentage increase}$ (in decimal form) gives the new amount in one step.