Question

A colony of 10,000 bacteria doubles in size every 29 hours. What will the population be 87 hours from now?

Answer 1

Let initial bacteria, P0=10000.

A colony of 10,000 bacteria doubles in size every 29 hours.

So, in first 29 hours, the bacteria becomes 20000.

In the next 29 hours, the bacteria becomes 40000.

`20000*2=40000`

Now, 29+29=58 hours.

In the next 29 hours, the bacteria becomes

`40000*2=80000`

Now, the total hours is 58+29=87 hours.

So, in 87 hours the bacteria becomes 80000.