Which symbol correctly compares these fractions?
1 answer:
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Option B: 256 is the diameter of the bacteria after 8 hours.
Explanation:
From the given, it is obvious that the graph is an exponential function.
The general formula is given by,
Where a is the initial population,
b is the growth rate and
x is the number of hours.
It is given that the diameter of the bacteria doubles every hour.
Then, we have,
Let us substitute the coordinate (0,1) and , we get,
Thus, substituting and
in the general formula
, we have,
We need to determine the diameter of the bacteria after 8 hours.
Let us substitute x = 8 in the equation , we get,
Thus, the diameter of the bacteria after 8 hours is 256
Hence, Option B is the correct answer.