y-intercepts in Real-World Problems Practice

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Question
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 point)
$

1 answer

To find out how much money Victor owes at the beginning of January, we need to evaluate the function \( f(x) \) at \( x = 0 \) (since January is the start of the time period).

The function given is:

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

Substituting \( x = 0 \):

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

Therefore, Victor owes $2500 at the beginning of January.