Consider the exponential curve y = 1000e–0.014x. Calculate y when x = 5; when x = 10; and when x = 20. For each of these values of x, find the percentage change in y when x increases by one unit. That is, find the percentage change in y when x increases from 5 to 6; when it increases from 10 to 11; and when it increases from 20 to 21. Is this percentage change constant? When expressed as a decimal, what number is it very close to? Write a brief memo on what you have learned about exponential curves from these calculations.
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