Suppose a certain type of bacteria reproduces according to the model p (t) = 100e^0.271t, where t is time in hours. at what rate does this type of bacteria reproduce?

P (t) = 100 e^0.271t

value of e is approximately = 2.71828

assume t = 1;

p (1) = 100 (2.71828) ^0.271 (1)

p (1) = 100 (1.31127)

p (1) = 131.13 or 131 rounded off to the nearest whole number.

p (2) = 100 (2.71828) ^0.271 (2)

p (2) = 100 (2.71828) ^0.542

p (2) = 100 (1.71944)

p (2) = 171.94 or 172

p (3) = 100 (2.71828) ^0.271 (3)

p (3) = 100 (2.25466)

p (3) = 225.47 or 225

I'm not sure how to get the exact rate because the amount grows exponentially.