Question

Suppose a manufacturing robot cost $1.5 million in 2005 and is sold in 2010 for $50,000. What is the linear equation representing the value of the robot? [t is measured in years, V is measured in thousands.]

Answer 1

D

Explanation:

V(t) = 1500 – 290t The information can be translated to the coordinates (0, 1500) and

(5, 50), giving a slope or rate of change of $290 per year.

Answer 2

Let t represent the number of years since 2005. Then given values are ...
(t, V(t)) = (0, 1500) and (5, 50)
The 2-point form of the equation for a line can be used for this.
V(t) = (50 -1500)/(5 -0)*(t -0) +1500
V(t) = -290t +1500

The linear equation representing the value (in thousands) of the robot is
V(t) = 1500 -290t