SOLUTION: equation y=ca^x points on graph = (3,50) and (2,1) Solve for a

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: equation y=ca^x points on graph = (3,50) and (2,1) Solve for a      Log On


   

Question 156731: equation y=ca^x
points on graph = (3,50) and (2,1)
Solve for a
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=ca%5Ex+ Start with the given equation


50=ca%5E3+ Plug in x=3 and y=50


50%2Fa%5E3=c+ Divide both sides by a%5E3 to isolate "c"


c=50%2Fa%5E3 Rearrange the equation


y=ca%5Ex+ Start with the given equation


1=ca%5E2+ Plug in x=2 and y=1


1=%2850%2Fa%5E3%29a%5E2+ Plug in c=50%2Fa%5E3


1=%2850a%5E2%29%2F%28a%5E3%29+ Multiply



1=50%2Fa+ Reduce


a=50+ Multiply both sides by "a"


So the solution is a=50+