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 \( f(x) \) at \( x = 0 \), since \( x \) represents the number of months after January.

The function is given by:

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

Now, we substitute \( x = 0 \):

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

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