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kellysmith45
13.10.2020 •
Mathematics
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population consists of 3.9 million cells. Find the population size (in millions of cells) after 3 hours. (Round your answer to one decimal place.)
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Ответ:
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 7.9 million
The given parameters are:
The nth term of an exponential function is:
After 3 hours; n = 3
So, we have:
Substitute values for a and r
Hence, the population size of the yeast cell after 3 hours is 7.9 million
Read more about exponential functions at:
link
Ответ:
The population after 3 hours is 13.9 mill.
Step-by-step explanation:
When we have an exponential with:
A = initial population.
r = constant relative growth rate:
t = time.
The function that models this is:
P(t) = A*e^(k*t)
In this case we know that:
A = 3.9 mill.
r = 0.4225 1.
Then the function that models the population of this yeast cell is:
P(t) = (3.9 mill)*e^(0.4225*t)
where t represents the time in hours.
Then if we want to know the population after 3 hours, we should replace t by 3.
P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.
And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.
The population after 3 hours is 13.9 mill.
Ответ:
45+67=112
112*2= 224
Jason has 224 coins