The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria doubles every minute. (Hint: The answer should contain q as well as n.)
To determine the amount of bacteria after n minutes if the initial amount is q and the amount of bacteria doubles every minute, we can use exponential growth equations.
Exponential growth can be represented by the formula:
N = N₀ * (2^t)
Where:
- N is the final amount (after n minutes).
- N₀ is the initial amount of bacteria (q).
- t is the time in minutes (n).
In this case, the equation becomes:
N = q * (2^n)
So, the amount of bacteria after n minutes, with an initial amount q and doubling every minute, is given by q * (2^n).