Finding the average rate of growth with an exponential growth graph

What if we had a question that looked like this:

As we know, an exponential graph does not have a consistent rate of change-- that is what makes it exponential. The rate of change is always growing. But sometimes we need to find the average change over a specific time period.

If the graph had a consistent rate of change, it would be linear. SO to find the average rate of change on an exponential graph, THAT'S what we have to do: pretend it is linear between the two points and find that consistent rate of change.

So here we go:

On a linear graph, the rate of change is represented by the slope between points. So in this case, we find the slope between our given points as if they were on a straight line. THIS gives us our average rate of change!

So what does that number (41.67) mean?

#exponentialgrowth #algebra #averagerateofgrowth #averagegrowthrate