An office machine purchased new for $3600

Question

loses $400 each year.
Assume the value continues to decrease 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 office machine loses $400 each year, so the value will decrease by $400 for each year that passes. The initial value is $3600, so the linear function that models the situation is:

f(x) = -400x + 3600

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

Answer 2

An office machine purchased new for $3600
loses $400 each year.
How many years will it take for the office machine's value to equal zero?
A. 5
B. 6
C. 9
D. 12

Answer 3

The office machine loses $400 each year, so we need to determine the number of years it will take for the value to reach zero. To find the number of years, we can set up the equation:

-400x + 3600 = 0

Solving for x:

-400x = -3600
x = 9

Therefore, it will take 9 years for the office machine's value to equal zero.

The correct answer is C. 9 years.