Suppose that a colony of bacteria is growing exponentially. Let M represent the mass in grams of the colony after t hours. If M satisfies M'(t)=.12M(t) and M(6)=37, find M(t).
If the colony is growing exponentially then the mass at time $\displaystyle t$ satisfies:
$\displaystyle M(t)=M(0)e^{kt}$
where $\displaystyle M(0)$ is the mass at time $\displaystyle t=0$ and $\displaystyle k$ is a constant.
Now use the given information to find $\displaystyle M(0)$ and $\displaystyle k$
CB