A certain bacterium population is observed to triple every two hours

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A certain bacterium population is observed to triple every two hours. At

8\,\text{a.m.}

the population is 200 cells. (a) Express the population after

n

two-hour intervals. (b) Find the least number of whole hours after

8\,\text{a.m.}

for which the population exceeds one million cells.