the value, v, of a shopkeepers inventory software program is given by v= -(1)/(2)t+3 where t is the number of years since the shopkeeper bought the program. What is the program worth 6 years after its first year purchased? Plot the point with the given t-value,6. after 9 year...
To find the value of the shopkeeper's inventory software program 6 years after its first year of purchase, we need to substitute t = 6 into the given equation:
v = -(1/2)t + 3
Substituting t = 6:
v = -(1/2)(6) + 3
Simplifying:
v = -3 + 3
v = 0
Therefore, the program is worth $0 six years after its first year of purchase.
To plot the point with the given t-value (6), we can use a coordinate system where the horizontal axis represents the years (t), and the vertical axis represents the value (v). The point (6, 0) would be plotted on the coordinate system with a t-value of 6 and a v-value of 0, which means it would be located on the horizontal axis.
As for finding the program's worth after 9 years, we can repeat the same process. Substituting t = 9 into the equation:
v = -(1/2)t + 3
Substituting t = 9:
v = -(1/2)(9) + 3
Simplifying:
v = -4.5 + 3
v = -1.5
Therefore, the program is worth -$1.50 nine years after its first year of purchase.