Question

growing bacteria ahmad and chris want to model another pattern they saw in their science class on the growth of bacteria through binary fission. to make the pattern simple and see the growth, chris uses the table below that suggests the process happens every minute. minutes number of bacterial cells 0 1 1 2 2 3 4 5

Explanation:

Step1: Identify the pattern

The number of bacterial cells doubles every minute. The formula for the number of cells \(N\) after \(t\) minutes is \(N = 2^{t}\) (since at \(t = 0\), \(N=2^{0}=1\), at \(t = 1\), \(N = 2^{1}=2\)).

Step2: Calculate for \(t = 2\)

Substitute \(t = 2\) into the formula \(N=2^{t}\). So \(N = 2^{2}=4\).

Step3: Calculate for \(t = 3\)

Substitute \(t = 3\) into the formula \(N = 2^{t}\). So \(N=2^{3}=8\).

Step4: Calculate for \(t = 4\)

Substitute \(t = 4\) into the formula \(N=2^{t}\). So \(N = 2^{4}=16\).

Step5: Calculate for \(t = 5\)

Substitute \(t = 5\) into the formula \(N=2^{t}\). So \(N=2^{5}=32\).

Answer:

Minutes	Number of Bacterial Cells
1	2
2	4
3	8
4	16
5	32