Victor will start paying off his credit card in January. He uses the function f(x)=−35x+2,500

Question

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.