Question

A bicyclist is riding on a path modeled by the function f(x) = 0.03x, where x and f(x) are measured in miles. Find the rate of change of elevation when x = 3.

Answer 1

Rate of change of elevation with horizontal distance or with time?

For the latter, you need to know the speed.

For the former, f' = df/dx = 0.03 at all times.

Answer 2

0.09

Answer 3

.09