Question

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A student models the way some bacteria reproduce by cutting a sheet of paper in half, and then
cutting each part in half, and then cutting those parts in half, and so on. What function could the
student use as another model for the puber of bacteria?

Answer 1

In the situation, the number of bacterias are doubling for each sheet of paper cut, thus, the exponential equation for the puber is:

$f(n) = 2^n$

Initially, there was only one sheet of paper. Then, each sheet is cut in half, so we will have 2 sheets, then 4 sheets, then 8 sheets, and so on. That is, the number of sheets is continuously doubling, thus, the population after n cuts can be modeled by the following exponential equation:

$f(n) = 2^n$

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