A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

It begins with 4

After 1 hour= 4 x 2= 8
2 hours= 8 x 2= 16
3 hours= 16 x 2= 32
4 hours= 32 x 2= 64
5 hours= 64 x 2=128
6 hours= 128 x 2=256
7 hours= 256 x 2= 512
8 hours= 512 x 2= 1024

Answer: 1024

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jainveenamrata jainveenamrata · Answer 2 · 2022-06-08T08:23:46+02:00

The number of bacteria that exist in the culture after 8 hours will be 1024.

What is an exponent?

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

A bacteria culture begins with 4 bacteria which double in size every hour.

Then the equation will be

y = 4 (2)ⁿ

Where n is the number of hours.

Then the number of the bacteria that exist in the culture after 8 hours will be

y = 4 (2)⁸

y = 4 x 256

y = 1024

More about the exponent link is given below.

https://brainly.com/question/5497425

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