### Home > PC3 > Chapter 5 > Lesson 5.2.1 > Problem5-45

5-45.

​Bacteria can multiply at an alarming rate when each bacterium splits into two new cells, thus doubling. If a single bacterium is discovered at 9 a.m. and doubles every hour, how many bacteria will there be at the end of the day (midnight)? Write an equation and show the calculations that represent this situation.

Start by making a table. Let $t=0$ represent 9 a.m.

$\left. \begin{array} { | c | c | } \hline \text{Time } ( h ) & { \text {number of bacterium} } \\ \hline 0 & { 1 } \\ \hline 1 & { 2 } \\ \hline 2 & { 4 } \\ \hline 3 & { 8 } \\ \hline \text{...} & \text{ ... } \\ \hline \end{array} \right.$