Using the equation `C=5+12x,`which of the following statements could be a correct interpretation of the coefficient of a term?

Let's break down your questions one by one:

### Question 1:
**Using the equation \( C = 5 + 12x \), which of the following statements could be a correct interpretation of the coefficient of a term?**

In the equation \( C = 5 + 12x \):
- The term \( 12x \) has a coefficient of 12.
- This means that for every unit increase in \( x \), the value of \( C \) increases by 12 units.

Possible interpretations of the coefficient of \( x \) (in this case, 12) could be:
- The coefficient (12) represents the rate of change of \( C \) with respect to \( x \).
- For every additional unit of \( x \), \( C \) increases by 12.

If you have specific answer choices, please provide them for a more targeted analysis.

### Question 2:
**Which of the following statements about the equation \( 3x−1=7+x \) is correct?**

To analyze the equation \( 3x - 1 = 7 + x \), we can solve for \( x \):
1. First, subtract \( x \) from both sides:
\[
3x - x - 1 = 7
\]
which simplifies to:
\[
2x - 1 = 7
\]

2. Next, add 1 to both sides:
\[
2x = 8
\]

3. Finally, divide both sides by 2:
\[
x = 4
\]

This means the correct statement would relate to the solution \( x = 4 \).

If you have specific statements to review, please provide them for further clarification!