Question

A bacteria colony is grown in a lab for an experiment. At the start of the experiment (time zero), there were 1,000 bacteria in a sample. The number of bacteria doubles every two hours.

Answer 1

SOLUTION

SEE IMAGE BELOW

BRIEF EXPLANATION

Substitue t=1,2,3,4,5,6 in options A,B,C and observe the pattern.

$\begin{gathered} 1000(2)^{\frac{t}{2}} \\ t=1\text{ , }\Rightarrow\text{ 1414} \\ t=2\text{ }\Rightarrow\text{ 2000} \\ t=3\text{ }\Rightarrow\text{ 2828} \\ \\ observe\text{ the doubling after every 2hrs } \\ \end{gathered}$

Now substitute t=9 into the function, we have 22,627