Final answer:
The rate of change of elevation at x = 2 is 0.08 miles per mile.
Step-by-step explanation:
The rate of change of elevation at x = 2 can be found by finding the derivative of the function f(x) = 0.08x. The derivative represents the rate of change of the function at any given point. To find the derivative, we can use the power rule of differentiation, which states that the derivative of x^n is nx^(n-1).
Applying this rule to the given function, we have f'(x) = 0.08 * 1 * x^(1-1) = 0.08. Therefore, the rate of change of elevation at x = 2 is 0.08 miles per mile.