A certain bacteria population is known to triple every 150 m

A certain bacteria population is known to triple every 150 minutes. suppose that there are initially 170 bacteria. What is the size of the population after t hours?

Solution

The formula for tripling is P*3^t/k where P is the initial population of bacteria and k is the number of hours in which the population triples. Here, P = 170 and k = 120 minutes = 2.5 hours. Therefore, the population of bacteria after t hours will be 170* 3^t/2.5 or, 170* 3^2t/5