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

Question

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)
$
$

Answer 1

To find out how much money Victor owes at the beginning of January, we need to evaluate the function \( f(x) \) at \( x = 0 \) (which represents the beginning of January).

Given the function:

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

we can substitute \( x = 0 \) into the function:

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

Simplifying this:

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

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