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?

$?

Answer 1

To find out how much money Victor owes at the beginning of January, we need to determine the value of the function \( f(x) \) when \( x = 0 \), since \( x \) represents the number of months after January.

Using the function:

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

Plugging in \( x = 0 \):

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

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