The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteria after 8 hours?

graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight

128
256
512
1,024

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.

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