Question

A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?

A

N(t)=2t


B

N(t)=2/t


C

N(t)=2t


D

N(t)=t2

Answer 1

N(t) = N0/2^t

Explanation:

Given that:

Number of cells present after t hours = N

Let initial number of cells = N0

Using the exponential decay relation:

N(t) = N0(1/2)^t

N(t) = N0/2^t

Hence, the number of cells N present after t hours is N(t) = N0/2^t.