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Answer:
The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:
In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that . So
When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that , and we use this to find k. So
So
Doubling time:
This is t for which P(t) = 2P(0) = 200. So
The doubling time is of 27.65 minutes.
The function g(x) is g(x)= (3x)^2
<h3>How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
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