High School

Yeast doubles in the container every minute. Starting with a small amount, it takes 80 minutes to fill the container. How long will it take to fill half of the container?

Answer :

The container of yeast will be half-full at the 79-minute mark, just one minute before it's completely filled, illustrating the rapid nature of exponential growth.

An example of exponential growth, specifically how long it will take for a container of yeast to be half-full if it doubles in size every minute and takes 80 minutes to fill completely.

The logic here revolves around understanding that exponential growth happens very rapidly and the majority of the growth occurs towards the end of the period.

If the container is full at the 80-minute mark, it would have been half-full just one minute before, at the 79-minute mark, because the yeast's population size doubles every minute.

Answer:

The answer to your question is 79 min

Step-by-step explanation:

We know that a yeast doubles every minute.

If half of the container is filled, that means that to the next minute it will be filled.

One minute before 80 is 79, during this minute yeast population doubles and the container will be filled.