For tax and accounting purposes, corporations depreciate the value of equipment each year. one method used is called "linear depreciation," where the value decreases over time in a linear manner. suppose that two years after purchase, an industrial milling machine is worth $820,000, and five years after purchase, the machine is worth $430,000. find a formula for the machine value v.

Explanation:

Linear Dependence

Some variables are known or assumed to have linear dependence which means the graph of the ordered pairs (x,V) is a straight line.

If we know two points of the line, we can come up with the exact equation and therefore make predictions for other values of x

The linear depreciation gives us these points (2,820000) and (5,430000)

The general equation of the line is

Where V is the machine value and x is the  number of years after purchase. We need to find the values of m and b.

Replacing the first point

Replacing the second point

Subtracting them  

Replacing in any of the equations, say, the first one

Solving for b

The formula for the machine value V is  

a=d/t

a="triangle"v/t

explanation:

a = acceleration