Discussion:
Q: Given the exponential function; y=100(1.5)^x, determine by the numerical method the average rate of change by calculating the slope at several arbitrarily chosen points shown below.
a) Construct the data set and compute values of y for x=0, 1, 2, 3, 4, 5. Graph the function over these x values and explain in your own words what the relationship means.
b) Compute the slope of the secant line in between each x value and superimpose the graph of these slope values over the original graph.
c) Determine a functional statement or equation that best describes the relationship between the slope and the x values.