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?(1 point)
$

Answer 1

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

The function is given by:

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

Now, substituting \( x = 0 \):

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

This simplifies to:

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

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