the value, v, of a shopkeeper's inventory software program is given by v = 1/2t + 6, where t is the number of years since the shopkeeper bought the program. What is the program worth 4 years after it is first purchased? Plot the point with the given t-value, 4
If t = 4, then
Value v = 4/2 + 6 = 8
Plot the point (4,8) on a v vs t graph.
It seems a bit strange that the value of a program would increase with time
To find the value of the program 4 years after it is first purchased, we need to substitute the value of t = 4 into the given expression for v.
Given: v = (1/2)t + 6
Substituting t = 4 into the equation:
v = (1/2)(4) + 6
v = 2 + 6
v = 8
Therefore, the program is worth 8 units after 4 years of purchase.
To plot the point (4, 8) on a graph, you would draw a coordinate plane with the horizontal axis representing the number of years (t) and the vertical axis representing the value (v). Mark the horizontal axis with t-values (in this case, mark the point 4 on the horizontal axis) and the vertical axis with v-values (in this case, mark the point 8 on the vertical axis). Finally, plot the point (4, 8) where the horizontal and vertical axes intersect.