Answer
The Math is below, and the graph is attached.
Work Step by Step
We plug in the given values of t into the equation to find:
A) $V(5) = 2500 + 200(5) = 3500$
B) $V(8) = 2500 + 200(8) = 4100$
C) The graph is attached.
D) In order to estimate, first draw a vertical line at t=10. Then, estimate the value of p at the intersection. This value is 4500. After all:
$V(10) = 2500 + 200(10) = 4500 $
E) In order to this, draw a horizontal line at V=3750. Then, find the value of t when the line intersects the line graphed in part c.
F) We find the actual value of the estimate in E:
$ 3750 = 2500 + 200t \\ 1250 = 200t \\ t = 6.25$
