Question

The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how many bacteria will be present at the end of the 8th hour?

Answer 1

The number of bacteria after
`8th` will be
`3840`

Explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

`A=A_0r^(n-1)`

Where
`A` is number of bacteria after
`n` hours.

`A_0` is bacteria present initially.

`r` is the common ration, in our problem it is given that bacteria doubles every hour. So,
`r=2`

And
`n` is the number of hours. In our problem we need amount of bacteria at the end of
`8th` hours. So,
`n=8`

Plugging values in the formula we get,

`A=30(2)^(8-1)\\A=30* 2^7\\A=30* 128\\A=3840`

So, number of bacteria after
`8th` will be
`3840`