Victor will start paying off his credit card in January. He uses the function f(x) = -35x+2,500 to model the amount he owes x months after January. How much does he owe at the beginning of January?

Answer 1

To find out how much Victor owes at the beginning of January, we need to evaluate the function \( f(x) \) at \( x = 0 \), since \( x \) represents the number of months after January.

The function given is:

\[ f(x) = -35x + 2500 \]

Now, substituting \( x = 0 \):

\[ f(0) = -35(0) + 2500 \] \[ f(0) = 0 + 2500 \] \[ f(0) = 2500 \]

Therefore, Victor owes $2,500 at the beginning of January.