Question

use the formula P=Ie^kt. A bacterial culture has an initial population of 500. If its population grows to 7000 in 4hrs, what will it be at the end of 6 hrs?

Answer 1

You're given two scenarios, so you should know to distinguish which pieces of information apply to which scenario.

In the first scenario, you have i = 500, and it grows to 7000 in 4 hours. This gives you the equation
\[7000=500e^{4k}\]
Do you know how to solve for k?

Next, using the k value from the first scenario, you must then find P after 6 hours, so the equation is
\[P=500e^{6k}\]
and you solve for P.