Question

Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds

Answer 1

Answer:

Yes, but it is not linear. It is exponential :  $f(x) = 5\cdot 2^{x-1}$

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

                                                $f(x) = 5\cdot 2^{x-1}$,

where x is a number of days and f(x) gives us the number of bacteria.