Health department lab officials detected 120,000 bacteria on a dessert plate that has a diameter of 6 inches. What's the approximate population density of the bacteria on t…

Question

asked Oct 21, 2019 207k views

2 Answers

Elmatou · Answer 1 · 2019-10-28T03:12:47+0000

Answer:

The correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch

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:

$A = (\pi)/(4)(d) ^ 2$

Where d is the diameter.

So:

$A = (\pi)/(4)36\\ A = 9\pi\\ A = 28.274.inches ^ 2$

Now, to find the number of bacteria in per square inch, we divide
(120000)/(28.274) = 4244.132.

So, the correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch