https://file.aiquickdraw.com/mathbot/file/1730230582629s5w9dwmq.jpg

To analyze the question, let’s look closely at the equation provided:

\[
12.50h + 30.75 = 10h + 40.75
\]

This equation represents the scenario when the cost of making a vase is the same for both studios. Here:

- The left side, \( 12.50h + 30.75 \), is the cost for Art Studio A, where \(12.50\) is the hourly rate and \(30.75\) is the fixed cost for supplies.
- The right side, \( 10h + 40.75 \), is the cost for Art Studio B, with an hourly rate of \(10\) and a fixed supply cost of \(40.75\).

Now let’s examine the answer choices:

1. **A. Each side of the equation contains 1 term.**
   - This is incorrect because each side of the equation has two terms (e.g., \(12.50h\) and \(30.75\) on the left).

2. **B. The values 12.50 and 10 are coefficients.**
   - This is correct. In the equation, \(12.50\) and \(10\) are coefficients of the variable \(h\) on each side of the equation.

3. **C. The values 12.50 and 10 are constants.**
   - This is incorrect because constants do not involve variables, and here \(12.50\) and \(10\) are attached to the variable \(h\).

4. **D. Each side of the equation contains 1 factor.**
   - This is incorrect. Each side contains multiple terms and is not factored.

Therefore, the correct answer is **B**: "The values 12.50 and 10 are coefficients."

Would you like further details on the solution? 

### Related Questions
1. What is the solution for \( h \) in the equation \(12.50h + 30.75 = 10h + 40.75\)?
2. How do you identify coefficients and constants in an equation?
3. Why are \(12.50\) and \(10\) not considered constants in this equation?
4. What is the significance of a coefficient in an equation?
5. How would the equation change if the supply costs were adjusted?

#### Tip:
In equations, terms with variables have coefficients, while terms without variables are constants.

Which statement is TRUE about the equation 12.50h + 30.75 = 10h + 40.75?

Explore which statement is true about the equation 12.50h + 30.75 = 10h + 40.75 in this algebra problem. Learn how to identify coefficients and constants, suitable for students in Grades 7-8.

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