A virus reproduces by dividing into two, and after a certain growth period, it divides into two again. As the virus continues to reproduce, it will continue to divide in two. How many viruses will be in a system starting with a single virus AFTER 10 divisions

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Answer:

1024 viruses

Step-by-step explanation:

1 (x2)

2 (first division) (x2)

4 (second) (x2)

8 (third) (x2)

16 (fourth) (x2)

32 (fifth) (x2)

64 (sixth) (x2)

128 (seventh) (x2)

256 (eigth) (x2)

512 (nineth) (x2)

1024 (tenth)

There will be around 1024 viruses, from single virus, in the system after 10 divisions. This is related to Linear equation.

Linear Equation

In the question we are provided with the information that the virus divides itself into two, at every time interval.

Hence, in the number system, we can write it down as 1, 2, 4, 8....to 10th divison. The linear equation will  be 2(2)^n-1.

Where n is equal to number of divisions, and the value 2 is the virus bening multiplied by 2.

Hence the value after 10th division will be 2(2)^10-1

2×2^9 = 1024.

Learn more about Linear Equation here:

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