An office machine purchased new for $3600

Question

loses $400 each year.
1× Assume the value continues to declease the same amount each year. If f(x) represents the value of the office machine after x years, which linear function models the given situation?

A. f(x) = 400x + 3600

B. f(x) = -400x - 3600

C. f(x) = -400x + 3600

D. f(x) = 400x - 3600

Answer 1

The answer is C. f(x) = -400x + 3600.

Since the office machine loses $400 each year, we can represent the decrease in value as a negative value.

The function f(x) represents the value of the office machine after x years, so it should be the starting value ($3600) minus the decrease in value (-$400x).

Therefore, the linear function that models the given situation is f(x) = -400x + 3600.