# Calculus

Suppose that a population of bacteria triples every hour and starts with 700 bacteria.
(a) Find an expression for the number n of bacteria after t hours.

n(t) = ?

(b) Estimate the rate of growth of the bacteria population after 1.5 hours. (Round your answer to the nearest hundred.)
n'(1.5) = ?

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2. A population starts with 1000 individuals and triples every 80 years.

a. give an exponential model for this situation

b. what is the size of the population after 100 years?

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