Question

Which option do I select True, and which option do I select False? Need help!!!

Answer 1

Statement-1 is false

Statement-2 is True

Explanation:

Given initially 50 bacteria present in perish dish.

Also, the population of bacteria gets tripled in every 8 hours.

Part-1

We can model this information in a function.

The population of bacteria after
`t` hours will be

`f(x)=P_0*3^{(x)/(8)`

Where
`P_0` is initial population of bacteria.

`f(x)` is population of bacteria after
`x` hours

And
`x` is the time in hour.

So, plugging these value in equation we get,

`P=50*3^{(x)/(8)`

And Statement-1 has a function
`f(x)=3(50)^{(x)/(8) }`

That does not match with our function
`f(x)=50*3^{(x)/(8)}`

So, Statement-1 is false.

Part-2

Now plug
`x=36` hours.

`f(x)=50*3^{(x)/(8)}\\x=36\\f(x)=50*3^{(36)/(8)}\\f(x)=50*3^(4.5)\\f(x)=50*140.29\\f(x)=7014.805`

So, the population after
`x=36` hours is ≅
`7015` bacteria.