A particular bacteria doubles in area on a petri dish every day. if on the first day the bacteria covers 3 mm2 how much area should the bacteria cover by the 10th day

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tatiana4ever

15.09.2021

Mathematics

We have to determine the first four iterates of the function f(x) = 2x with an initial value of $x_{0}$ = 2.

Since, f(x)=2x

So, $f(x_{0})=2x_{0}= 2 \times 2 = 4$

So, we get iterations as 2,4

Now, let $x_{0}=4$

So, $f(x_{0})=2x_{0}= 2 \times 4 = 8$

So, we get iterations as 2,4,8

Now, let $x_{0}=8$

So, $f(x_{0})=2x_{0}= 2 \times 8 = 16$

Therefore, we get iterations as 2,4,8,16.

Therefore, Option C is the correct answer.

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A particular bacteria doubles in area on a petri dish every day. if on the first day the bacteria covers 3 mm2 how much area should the bacteria cover by the 10th day​