The doubling time of a type of bacteria is 35 minutes. If every bacterium reproduces, then after 35 minutes a population of 64 bacteria will have grown approximately to what size?

If the doubling time is 35 mins, and the question is what is the population of 64 bacteria after 35 mins, if everyone of them reproduce. Then it would be double the 64. which equals 128.

To calculate the approximate size of the population after 35 minutes, given the doubling time of 35 minutes, you need to use the formula for exponential growth.

The formula for exponential growth is:

N = N₀ * (2^(t / d))

Where:
N = population size after time t
N₀ = initial population size
t = time elapsed
d = doubling time (time for population to double)

In this case, the initial population size N₀ is 64, and the doubling time d is 35 minutes. Since we want to find the population size after 35 minutes, we substitute these values into the formula:

N = 64 * (2^(35 / 35))

Simplifying the equation:

N = 64 * (2^1)

N = 64 * 2

N = 128

Therefore, after 35 minutes, a population of 64 bacteria will have grown approximately to a size of 128 bacteria.