Acertain bacteria population is known to triple every 90 minutes. suppose that there are initially 80 bacteria.. what is the size of the population after t hours?

We can make use of the doubling formula but instead we change it to tripling since from the problem statement the population triples every 90 minutes. We do as follows:

P(t)=(80)3^t/90

But since you need t to be in hours, we have to convert 90 into hours which will give us the equation:

P(t)=(80)3^t/1.5

The answer is 41.7 because 1.39 times 30 is 41.7