https://file.aiquickdraw.com/mathbot/file/1726831481285tgolptct.jpg

The problem in the image asks for Dominic's earnings based on his hourly rate, which we will calculate from his total payment and hours worked.

### Step-by-step solution:

1. **Find the hourly rate**:
   Dominic earned **$378.75** for working **36.4 hours**. To find his hourly rate, divide the total payment by the total hours worked:

   \[
   \text{Hourly rate} = \frac{378.75}{36.4}
   \]

   Let's calculate this:

   \[
   \text{Hourly rate} \approx 10.41
   \]

   Rounded to the nearest cent, Dominic's hourly rate is **$10.41**.

2. **Calculate earnings for 22.5 hours**:
   Now, to find out how much he earned for **22.5 hours**, multiply his hourly rate by the hours worked:

   \[
   \text{Earnings} = 10.41 \times 22.5
   \]

   Performing this calculation:

   \[
   \text{Earnings} \approx 234.23
   \]

   So, the answer is **$234.23**.

### Correct answer: $234.23.

Would you like more details on any part of the solution? Here are some related questions:

1. How do you divide multi-digit decimals effectively?
2. Why is it important to round to the nearest cent in financial problems?
3. Can the process of finding hourly rates be applied in different contexts?
4. How can you estimate a result before calculating precisely?
5. How does rounding affect the final answer?

**Tip**: Always double-check your rounding, especially when working with money, to ensure accuracy.

Solve the following problem using division. Dominic was paid $378.75 for working 36.4 hours last week. How much money has he made so far this week if he has worked 22.5 hours? Find the hourly rate first, rounded to the nearest cent. Make sure the final answer is also rounded to the nearest cent.

Learn how to calculate Dominic's earnings based on his hourly rate for working 22.5 hours, given he was paid $378.75 for 36.4 hours. This problem covers decimal division and rounding to the nearest cent, suitable for Grades 6-8.

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