Question

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

Answer 1

To find out how much money Victor owes at the beginning of January, we need to evaluate the function \( f(x) \) at \( x = 0 \) (which corresponds to January).

The function given is:

\[
f(x) = -35x + 2,500
\]

Now, substitute \( x = 0 \):

\[
f(0) = -35(0) + 2,500
\]

This simplifies to:

\[
f(0) = 0 + 2,500
\]
\[
f(0) = 2,500
\]

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