Question

Ex1: A colony of bacteria doubles in population every 20 min. The initial population of the colony is 300. a) Write a model for the population of the colony of bacteria as a function of t.b) What is the population of the colony after. 10 minutes? 60 min?

Answer 1

in this problem, we have an exponential function of the form

`P=300(2)^{((t)/(20))}`

Part b

For t=10 minutes

substitute in the function above

`\begin{gathered} P=300(2)^{((10)/(20))} \\ P=424\text{ bacteria} \end{gathered}`

For t=60 minutes

substitute

`\begin{gathered} P=300(2)^{((60)/(20))} \\ P=2,400\text{ bacteria} \end{gathered}`