four siblings have a dog walking buisness. the table shows the hours worked by each sibling.each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h +15,where h represents the number of hours Michael worked.what was the total amount the siblings earned?

To find the total amount the siblings earned, we need to determine the total number of hours worked by all four siblings, and then multiply that by the hourly rate of $25.50.

### Step 1: Express the total number of hours worked
The total number of hours worked by all four siblings is given by the expression $ 10h + 15 $, where $ h $ represents the number of hours Michael worked.

### Step 2: Calculate the total earnings
The total earnings of the siblings can be found by multiplying the total number of hours worked by the hourly rate:

\[
\text{Total earnings} = (\text{Total hours worked}) \times (\text{Hourly rate})
\]

Substituting the given expressions:

\[
\text{Total earnings} = (10h + 15) \times 25.50
\]

### Step 3: Distribute and simplify
Now, distribute the $25.50 across the terms inside the parentheses:

\[
\text{Total earnings} = 25.50 \times 10h + 25.50 \times 15
\]

Simplify the terms:

\[
\text{Total earnings} = 255h + 382.50
\]

### Conclusion:
The total amount the siblings earned is $ \boxed{255h + 382.50} $ dollars.

This expression will give you the total earnings based on the number of hours $ h $ that Michael worked.

Would you like to know more details or have any further questions?

Here are some related questions:
1. If Michael worked 8 hours, what would be the total earnings?
2. How much more would the siblings earn if the hourly rate increased to $30.00?
3. If Michael worked twice as many hours, how would that affect the total earnings?
4. How many hours did the other siblings work together if Michael worked 5 hours?
5. What would happen to the total earnings if the number of hours Michael worked was doubled?

**Tip:** When solving for total earnings or similar problems, it's essential to first calculate the total work done and then apply the rate or cost accordingly.

Learn how to calculate the total earnings for four siblings who have a dog walking business. Each sibling earns $25.50 per hour, and the total hours worked are represented by 10h + 15, where h is the number of hours Michael worked. This problem covers algebraic concepts such as linear equations and arithmetic calculations. Suitable for students in Grades 7-9.

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