neil was growin a culture of a bacteria for biology experiement. he noticed that the population doubled after 90 minutes. if the population grows exponentially, how many times the original population will there be after 6 hours?
62 6tens 2ones Regroup ___ tens ___ ones
8 times. 90*4=360 minutes=6hrs
wouldnt it be 4 times though?
To determine the number of times the original population will increase after 6 hours, we can use the formula for exponential growth:
N = N₀ × (2^(t/d))
Where:
N is the final population size
N₀ is the initial population size
t is the time elapsed
d is the doubling time
In this case, Neil observed that the population doubled after 90 minutes, so the doubling time (d) is 90 minutes.
First, let's convert 6 hours to minutes since we need to use the same unit of time for calculations:
6 hours × 60 minutes/hour = 360 minutes
Now, we can plug in the values into the formula:
N = N₀ × (2^(t/d))
N = 1 × (2^(360/90))
N = 1 × (2^4)
N = 1 × 16
N = 16
Therefore, after 6 hours, the population will be 16 times the original population.