Question

A single bacterium is placed in a test tube and splits in two after one minute. After two minutes, the resulting two bacteria split in two, creating four bacteria. This process continues. How many bacteria are in the test tube after a half hour?

Answer 1

2^30, or 1,073,741,824 bacteria after 30 minutes!!!!!! ☺☺☺☺

Answer 2

The number of the bacteria are in the test tube after a half hour will be 32,768.

What is an exponent?

Let a is the initial value and x is the power of the exponent function and b is the increasing factor. The exponent is given as

y = a(b)ˣ

A single bacterium is placed in a test tube and splits in two after one minute.

Let t be the number of minutes.

Then the value of b will be 2 and the value of the x will be t / 2.

Then the equation will be

$\rm y = 1 (2)^{t/2}$

After two minutes, the resulting two bacteria split in two, creating four bacteria.

This process continues.

The number of the bacteria are in the test tube after a half hour will be

We know that in half hour, there are 30 minutes. Then the equation will be

$\rm y = 1 (2)^{30/2}$

Solve the equation further, then we have

y = 2¹⁵

y = 32,768

More about the exponent link is given below.

https://brainly.com/question/5497425

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