One of the most prevalent applications of exponential functions involves growth and decay models.
Exponential growth and decay show up in a host of natural applications.
At any given time, the real-world population contains a whole number of bacteria, although the model takes on noninteger values.
When using exponential growth models, we must always be careful to interpret the function values in the context of the phenomenon we are modeling.
If something increases at a constant rate, you may have exponential growth on your hands.
In this tutorial, learn how to turn a word problem into an exponential growth function. Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions.When it's a rate of increase, you have an exponential growth function!Check out these kinds of exponential functions in this tutorial!After all, the more bacteria there are to reproduce, the faster the population grows.Figure \(\Page Index\) and Table \(\Page Index\) represent the growth of a population of bacteria with an initial population of 200 bacteria and a growth constant of 0.02.It is best to work from the inside out, starting with the exponent, then the exponential, and finally the multiplication, like this: Not all algebra classes cover this method.If you're required to use the first method for every exercise of this type, then do so (in order to get the full points). Note that the constant was positive, because it was a growth constant.If I had come up with a negative answer, I would have known to check my work to find my error.In this tutorial, learn how to turn a word problem into an exponential decay function. Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions.In this tutorial, learn how to turn a word problem into an exponential growth function.