Question

You're running an experiment and you need to grow acolony of good bacteria. You begin with just 15 bacteria inyour colony. The number of bacteria doubles every 90minutes. Write an equation to represent the populationof the bacteria over time.How many bacteria are there after six (6) hours?

Answer 1

Given:

You're running an experiment and you need to grow a colony of good bacteria. You begin with just 15 bacteria in your colony. The number of bacteria doubles every 90 minutes.

Required:

Write an equation to represent the population of the bacteria over time. How many bacteria are there after six (6) hours?

Step-by-step explanation:

We will draw the table as

Now, we can define function

`f(t)=15*2^{(2)/(3)t}`

Where, 15 is initial amount of bacteria.

After 6 hour bacteria will be

`\begin{gathered} f(6)=15*2^{(2)/(3)*6} \\ =15*2^4 \\ =240 \end{gathered}`

Answer:

Hence, there will be 240 bacteria after 6 hours.