SOLUTION: Without graphing, determine whether each equation represents exponential growth or decay. http://i732.photobucket.com/albums/ww330/school_hard/IMG_51371.jpg

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Without graphing, determine whether each equation represents exponential growth or decay. http://i732.photobucket.com/albums/ww330/school_hard/IMG_51371.jpg      Log On


   

Question 183557: Without graphing, determine whether each equation represents exponential growth or decay.
http://i732.photobucket.com/albums/ww330/school_hard/IMG_51371.jpg
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The general form of any exponential equation is y=a%2Ab%5Ex. If b%3E1, then as "x" increases, then "y" increases at an exponential rate. If b%3C1, then as "x" increases, then "y" decreases at an exponential rate (ie it exponentially decays).

So in the first equation b=7%3E1, this tells us that the first equation represents exponential growth.


On the other hand, in the second equation, because b=0.5%3C1, this means that the second equation represents exponential decay.