Let $B(t)$ be the number of bacteria cells present in a sample after $t$ hours, and let $B(0)=12000$.
a) Suppose the growth rate of the bacteria is $220 \%$ per hour. Find a function for $B(t)$.
$B(t) =$
Evaluate at $t=14$.
$B(14) =$

b) Suppose the bacteria has a continuous growth rate of $220 \%$ per hour. Find a function for $B(t)$.
$B(t) =$
Evaluate at $t= 14$.
$B(14) =$

c) Does the formula in part a) or in part b) have a larger growth factor? What is the growth factor?

A. The answer in a) has a larger growth factor. The growth factor in a) is $3.2$.
B. The formula in a) has a larger growth factor. The growth factor in a) is $e^{2.2}$.
C. The formula in b) has a larger growth factor. The growth factor in b) is $e^{2.2}$.
D. The formula in b) has a larger growth factor. The growth factor in b) is $e$.

Hint: