Problema Solution

A certain bacterium triples in number every 30 minutes. Suppose you start with a culture of 50 of these bacteria. How many times do the bacteria triple in number after 2 hours?

Answer provided by our tutors

the start number of bacteria: x


after 30 min: 3x


after another 30 min or total of 2*30 = 60 min: 3*3x


after another 30 min or total of 3*30 = 90 min: 3*3*3x


after another 30 min or total of 4*30 = 120 min = 2 hr: 3*3*3*3x = 3^4x


the bacteria tipples 4 times.