Complete the following sentence about the rate of change of the bacterial culture. Round your answer to two decimal places.

The bacterial culture loses [tex]\(\frac{1}{2}\)[/tex] of its size every ____ seconds.



Answer :

Certainly! Let's complete the sentence step-by-step.

Firstly, identify the initial size of the bacterial culture, which is given as 1 unit.

Next, determine the rate at which the bacterial culture loses its size. The culture loses half of its size every second. Numerically, this translates to 0.5.

So, the bacterial culture loses 0.5 or half of its size every 1 second.

Let's complete the sentence accordingly:

"The bacterial culture loses [tex]\(\frac{1}{2}\)[/tex] of its size every 1 second."

For clarity and matching the specified rounding:
"The bacterial culture loses 0.50 of its size every 1 second."

Simplifying further to standard English phrasing:

"The bacterial culture loses 50% of its size every 1 second."