Question

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

Answer 1

In the equation \( C = 5 + 12x \), the coefficient of the term \( x \) is 12. To interpret this coefficient, we can analyze what it represents in the context of the equation.

The coefficient of 12 indicates the rate of change of \( C \) with respect to \( x \). Specifically, it means that for each one-unit increase in \( x \), the value of \( C \) increases by 12 units.

Thus, a correct interpretation of the coefficient (12) could be:

- The value of \( C \) increases by 12 for every additional unit of \( x \).
- There is a direct relationship between \( x \) and \( C \), where \( C \) rises by 12 for each increment of 1 in \( x \).

If you provide specific statements, I can further clarify which ones accurately interpret the coefficient.