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
$2,000. Write a linear equation giving the value of the equipment during the 10 years it will be in
Use)
A) $V = - 1800 + 20,000 t$
B) $V = 1800 t + 20,000$
C) $V = - 1800 t + 20,000$
D) $V = - 1800 t - 20,000$
E) $V = 1800 t - 20,000$

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
$2,000. Write a linear equation giving the value of the equipment during the 10 years it will be in
Use) 
A) $V = - 1800 + 20,000 t$
B) $V = 1800 t + 20,000$
C) $V = - 1800 t + 20,000$
D) $V = - 1800 t - 20,000$
E) $V = 1800 t - 20,000$

Quizplus · Accepted Answer

We know that the value of the equipment decreases over time and that it will be worth $2,000 after 10 years. Therefore, we can write the equation as:
V = -200t + 20,000
where t represents the time in years. However, we are given answer choices in slightly different forms. 
Choice A has the correct slope but the wrong y-intercept. 
Choice B has the correct y-intercept but the wrong slope. 
Choice D has the correct slope but is incorrect starting value. 
Choice E has the correct slope but is incorrect starting value. 
Therefore, only choice C correctly matches the equation we derived.

A School District Purchases a High-Volume Printer, Copier, and Scanner V=−1800+20,000tV = - 1800 + 20,000 tV=−1800+20,000t

A School District Purchases a High-Volume Printer, Copier, and Scanner $V = - 1800 + 20,000 t$