The exponential function is often used to model the growth or decay of a population
The population size of the yeast cell after 3 hours is 6.24 million
The given parameters are:
a = 3.1M --- initial number of cells
r = 0.4425 per hour --- rate
The nth term of an exponential function is:
f(n) = a(1+r)^n-1
After 3 hours; n = 3
So, we have:
f(3) = a(1+r)^3-1
Substitute values for a and r
f(3) = 3.1 (1+0.4425)^3-1
f(3) = 3.1 ( 1.4425)^2
f(3) = 6.24
Hence, the population size of the yeast cell after 3 hours is 6.24 million.
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