Answer:
The correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch
Step-by-step explanation:
They give us the diameter of the plate, then the first step is to calculate their area.
The area of a circle according to the diameter is:
[tex]A = \frac{\pi}{4}(d) ^ 2[/tex]
Where d is the diameter.
So:
[tex]A = \frac{\pi}{4}36\\ A = 9\pi\\ A = 28.274.inches ^ 2[/tex]
Now, to find the number of bacteria in per square inch, we divide [tex]\frac{120000}{28.274} = 4244.132.[/tex]
So, the correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch
