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

f
(
x
)
=

35
x
+
2
,
500
to model the amount of money he owes x
x
months after January. How much money does he owe at the beginning of January?(1 point)

1 answer

To find out how much money Victor owes at the beginning of January, you would evaluate the function \( f(x) \) at \( x = 0 \), since \( x \) represents the number of months after January.

Using the function \( f(x) = -35x + 2,500 \):

\[ f(0) = -35(0) + 2,500 \] \[ f(0) = 0 + 2,500 \] \[ f(0) = 2,500 \]

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