Algebra-1

We can solve this problem by following these steps:

 

Step 1: Determine the number of doubling periods

Since the yeast doubles in volume every 2 hours and we want to know the volume after 8 hours, we need to find out how many 2-hour periods are there in 8 hours.

 

To do this, we divide the total number of hours (8) by the length of each period (2). So the number of doubling periods  is .

 

Step 2: Use the exponential growth formula

The formula for exponential growth in this case is , where:

 is the final volume.

 is the initial volume, which is  here.

 is the number of doubling periods, which we found to be .

 

Step 3: Plug in the values and calculate

Substitute

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