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 answer

To determine how much money Victor owes at the beginning of January, we need to evaluate the function \( f(x) = -35x + 2500 \) at \( x = 0 \) (which represents the beginning of January).

Substituting \( x = 0 \) into the function:

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

This simplifies to:

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

Therefore, at the beginning of January, Victor owes $2500.