The amount of bacteria after and then it in the initial amount of bacteria is Q in the amount of the bacteria triples every 15 seconds hence the answer should contain Q as well as n

Say what ?

The amount of bacteria after n seconds is

A = Q*3^(n/15)

To calculate the amount of bacteria after a given number of time intervals, we need to use the concept of exponential growth. In this case, the bacteria triples every 15 seconds.

Let's denote the initial amount of bacteria as Q. After every 15-second interval, the amount of bacteria triples. So, after the first 15-second interval, there will be 3Q bacteria. After the second 15-second interval, there will be 3 times the amount from the first interval, which is 3(3Q) = 9Q bacteria. We can see that the amount of bacteria triples each time, resulting in exponential growth.

To find the amount of bacteria after a specific number of 15-second intervals, denoted as 'n', we can use the formula:

Amount of bacteria = Q * 3^n

Here, Q represents the initial amount of bacteria, and 'n' represents the number of 15-second intervals. The exponential term 3^n represents the tripling effect after each 15-second interval.

Using this formula, you can calculate the amount of bacteria after a given number of intervals. Simply substitute the values of Q and 'n' into the formula, then perform the necessary calculations to find the answer.

For example, if the initial amount of bacteria is Q = 100 and we want to find the amount of bacteria after 4 intervals (n = 4), we use:

Amount of bacteria = 100 * 3^4
Amount of bacteria = 100 * 81
Amount of bacteria = 8,100

Therefore, after 4 intervals of 15 seconds, the amount of bacteria would be 8,100.