In the following exercise, you are asked about the growth factor of an exponential function

Question

In the following exercise, you are asked about the growth factor of an exponential function 
N = N(t).
One entry in a data table for N gives 
t = 3
 and 
N = 9.
 Another entry gives 
t = 5
 and 
N = 27.
 What value of N should be given for 
t = 6?
 (Round your answer to one decimal place.)

oobleck · Accepted Answer

Given a growth factor of r, we have N(5)/N(3) = r^2 so r=√3 and N(6) = N(5)*√3 = 27√3