A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.

A) $V = 1740 t - 20,000$
B) $V = - 1740 t - 20,000$
C) $V = 1740 t + 20,000$
D) $V = - 1740 t + 20,000$
E) $V = - 1740 + 20,000 t$

Question

A school district purchases a high-volume printer, copier, and scanner for $20,000. After 10 years, the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.
 
A) $V = 1740 t - 20,000$
B) $V = - 1740 t - 20,000$
C) $V = 1740 t + 20,000$
D) $V = - 1740 t + 20,000$
E) $V = - 1740 + 20,000 t$

Quizplus · Accepted Answer

The value of the equipment decreases linearly from $20,000 to $2,600 over 10 years, which is a decrease of $17,400. Dividing this decrease by the time period gives a rate of decrease of $1,740 per year. Therefore, the value $V$ at time $t$ (in years) can be represented by starting value minus the depreciation over time: $V = 20,000 - 1,740t$, which rearranges to $V = - 1,740t + 20,000$.

A School District Purchases a High-Volume Printer, Copier, and Scanner V=1740t−20,000V = 1740 t - 20,000V=1740t−20,000

A School District Purchases a High-Volume Printer, Copier, and Scanner $V = 1740 t - 20,000$