Mathematics: Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria doubled each day-from 5 to 10, then from 10 to 20, and so on. Is the population of bacteria a function of the number of days? If so, is it linear? Explain your reasoning.

1.A 2.CStep-by-step explanation:...

Lin counts 5 bacteria under a microscope. She - id55213261, kaiyerecampbell95

kyao5780

18.09.2020

The population of bacteria can be expressed as a function of number of days.

Population = $5*2^{n-1}$ where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day= $5 * 2^{0} = 5$

Number of bacteria on the second day = $5 * 2^{1} = 10$

Number of bacteria on the third day = $5*2^{2} = 20$

Number of bacteria on the fourth day = $5*2^{3} = 40$

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as $5*2^{n-1}$ where n is the number of days since the beginning.

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