A bicyclist is riding on a path modeled by the function f(x) = 0.07x, where x...

A bicyclist is riding on a path modeled by the function

f(x) = 0.07x,

where x and f(x) are measured in miles (see figure). Find the rate of change of elevation at

x = 5.

Solutions

Expert Solution

The rate of change of a function at any point "c" is equivalent to the slope of the line that is tangent to it. It is the derivative of the function at the point . We can make use of First Principle to find the derivative

Here

We need to evaluate the elevation at x=5 and it is given by

The rateof change of elevation at x=5 is 0.07

Now we can do this in another way

Lets start from the begining that is when x=0

Since we need to evaluate the rate of change of elevation at x=5

Hence the slope which gives the rate of change of elevation

Hence the rate of elavation at x=5 is 0.07

milcah answered 1 year ago

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