Concept explainers
Business: growth of an investment. A company determines that the value of an investment after t years is V, in millions of dollars, where V is given by
Note: Calculate often use only the variables y and x, so you may to change the variables.
a. a) Graph V over the interval
b. b) Find the equation of the secant line passing through the point
c. c) Find the average rate of change of the investment between year 1 and year 5.
d. d) Repeat part (b) and (c) for the following pairs of point;
and
e. e) What appears to be the slope of the tangent line to the point
f. Approximate the rate at which the value of the investment is changing at
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