How To Solve Growth And Decay Problems
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.
If something decreases in value at a constant rate, you may have exponential decay on your hands.
In this tutorial, learn how to turn a word problem into an exponential decay function.
No matter the particular letters used, the green variable stands for the ending amount, the blue variable stands for the beginning amount, the red variable stands for the growth or decay constant, and the purple variable stands for time.
Exponential growth and decay show up in a host of natural applications.
I could simplify this to a decimal approximation, but I won't, because I don't want to introduce round-off error if I can avoid it.
So, for now, the growth constant will remain this "exact" value.
Many math classes, math books, and math instructors leave off the units for the growth and decay rates.
However, if you see this topic again in chemistry or physics, you will probably be expected to use proper units ("growth-decay constant / time"), as I have displayed above.