Carl's Tractor Service purchases a used brush mower for $1445.The machine has a useful life of 5 years after which time another one will have to be purchased.Assume depreciation of the machine is linear.Write a linear equation giving the value V of the used brush mower during the 5 years it will be in use.
A) $V = - \frac { 1 } { 289 } t - 1445$
B) $V = 289 t - 1445$
C) $V = - \frac { 1 } { 289 } t + 5$
D) $V = \frac { 1 } { 289 } t + 5$
E) $V = - 289 t + 1445$ ?

Question

Quizplus · Accepted Answer

The value of the brush mower decreases linearly from $1445 to $0 over 5 years. The rate of depreciation per year is $\frac{1445}{5} = 289$. Thus, the value decreases by $289 each year, leading to the equation $V = -289t + 1445$, where $t$ is the time in years.

Carl's Tractor Service Purchases a Used Brush Mower for $1445 V=−1289t−1445V = - \frac { 1 } { 289 } t - 1445V=−2891​t−1445

Carl's Tractor Service Purchases a Used Brush Mower for $1445 $V = - \frac { 1 } { 289 } t - 1445$