00:01
Okay, doubling period of a bacterial population is 15 minutes.
00:04
At time t is equal to 100 minutes, the bacterial population was 90 ,000.
00:09
So we're going to use this idea that an amount is equal to the initial amount, multiplied by we're doubling here in time divided by 15.
00:20
This is going to represent whatever the time is, divided by 15 will tell me how many times i've doubled in this scenario.
00:26
So, for example, if it was 30 minutes, 30 divided by 15 is 2.
00:30
That means it went through doubling two times.
00:34
So for our in case here, we want to find the initial amount.
00:38
So 90 ,000 is equal to a sub zero, multiplied by two raised to the 100 divided by 15 power.
00:48
So to find my initial amount, we're going to divide by two raise the 100 over 15 to both sides.
00:57
Okay.
00:58
So this is what's going to go in my calculator here.
01:00
90 ,000 divided by two raised the 100 over 15 power.
01:04
I do that and i get 88 .59, and that's going to represent my initial amount...