exponential growth problem

[joebala]

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2000 bacteria selected from this population reached the size of 2266 bacteria in five hours. Find the continuous growth rate per hour. Write your answer as a percentage. Round your answer to one decimal place.

please help!

 

[Denis]

F = Future size
P = Present size
n = number of hours
g = growth rate
Formula:
F = P(1 + g)^n

2266 = 2000(1 + g)^5

Solve for g