A culture of bacteria in a petri dish is doubling every hour. If there are 100 bacteria at time t=0, how many bacteria will there be in 12 hours?
a culture started with 2000 bacteria. after 2 hour , it grew to 2,400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number.
4,000
To find the number of bacteria in 12 hours when the culture is doubling every hour, we can use the formula:
N = N₀ * 2^(t/h)
Where:
N = Final number of bacteria
N₀ = Initial number of bacteria
t = Time elapsed
h = Doubling time
Given:
N₀ = 100 bacteria (initial number)
t = 12 hours (time elapsed)
h = 1 hour (doubling time)
Now substituting the given values into the formula, we have:
N = 100 * 2^(12/1)
N = 100 * 2^12
Calculating 2^12, we have:
N = 100 * 4096
N = 409,600
Therefore, there would be 409,600 bacteria in the petri dish after 12 hours.