Question

A bicyclist is riding on a path modeled by the functions f(x) = 0.08x, when x and f(x) are measured in miles. Find the rate of change of elevation at x = 2.

Answer 1

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.

Answer 2

So the problem wants to ask to calculate the rate of change of the elevation if x=2 in the function f(x) = 0.08x. So base on that, the rate of change of elevations can be get through the formula of slope intercept form and the answer would would 0.08 is the rate of change in disregard of the value of x. I hope you are satisfied with my answer