A method of finding values beyond those given is considered. By using a straight-line segment to extend a graph beyond the last known point, we can estimate values from the extension of the graph. The method is known as linear extrapolation. Use this method to estimate the required values from the given graphs.

Using the graph for Exercise 7, estimate T for R = 10.4%.

Data from Exercises 7

The time required for a sum of money to double in value, when compounded annually, is given as a function of the interest rate in the following table:

Rate (%) Time (years) 4 17.7 5 6 7 8 9 14.2 11.9 10.2 9.0 8.0 10 7.3