The equation given is:

$12.50h + 30.75 = 10h + 40.75$

This represents a situation where the cost of making a vase is the same for both studios. You are asked to determine which statement about the equation is true. Let's analyze the options.

• Option A: "The values 12.50 and 10 are constants."

  • This is false. The values 12.50 and 10 are not constants, but coefficients because they are multiplied by the variable $h$.

• Option B: "The values 12.50 and 10 are coefficients."

  • This is true. The numbers 12.50 and 10 are coefficients of the variable $h$ in the equation.

• Option C: "Each side of the equation contains 1 term."

  • This is false. Each side of the equation has two terms. For example, on the left side, $12.50h$ and $30.75$ are two terms, and on the right side, $10h$ and $40.75$ are two terms.

• Option D: "Each side of the equation contains 1 factor."

  • This is false. Each side of the equation contains more than one term, and a term could be a product of a factor, but in this context, the equation does not simplify to just one factor on each side.

The correct answer is Option B.

Would you like more details or have any questions?
Here are 5 related questions for further exploration:

1. How do we solve the equation $12.50h + 30.75 = 10h + 40.75$?
2. What are coefficients and constants in a linear equation?
3. How do you determine the number of terms in an algebraic expression?
4. What is the difference between a term and a factor in algebra?
5. How can you graph an equation like $12.50h + 30.75 = 10h + 40.75$?

Tip: Always identify coefficients and constants in an equation, as it helps to better understand how the variables affect the equation.