Question

A piece of equipment was purchased by a company for $15,000 and Is assumed to have a salvage value of $5,000 in 5years. If it’s depreciated linearly from $15,000 to $5000
Find a linear equation in the form V = mt + b

Answer 1

Answer:

$V=-2,000t+15,000$

Step-by-step explanation:

Let

V ----> the value in dollars (y-coordinate)

t ----> the time in years (x-coordinate)

we have the ordered pairs

(0,15,000) and (5,5,000)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{v2-v1}{t2-t1}$

substitute

$m=\frac{5,000-15,000}{5-0}$

$m=\frac{-10,000}{5}$

$m=-\ 2,000\ per\ year$

Find the equation of the line in slope intercept form

$V=mt+b$

where

$m=-2,000\\b=15,000$

substitute

$V=-2,000t+15,000$