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?

To find the amount of money Victor owes at the beginning of January, we need to evaluate the function at x = 0 (since January is 0 months after January).

So we substitute x = 0 into the function:

f(0) = -35(0) + 2,500
= 0 + 2,500
= 2,500

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