Question

The count in a bacteria culture was 400 after 15 minutes and 1400 after 40 minutes. What was the initial size of the culture? Find the time required for the population to double. Find the population after 95 minutes. When will the population reach 12000?

Answer 1

Do you know the formula for this mortal?

Answer 2

Since they're concerned with population doubling, we can use this skeleton equation: \[
p(t) = p_0 2^{kt}
\]where \(t\) is the number of minutes passed and \(p_0 \) is the initial population.
\(k\) is just some growth factor we need to solve for.

Answer 3

We have to equations: \[
p(15) = p_02^{k(15)} = 400
\]And\[
p(40) = p_02^{k(40)} = 1400
\]

Answer 4

These two equations will allow you to solve for \(k\) and \(p_0\)