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 the dish? a. 1,062 bacteria/square inch b. 1,111 bacteria/square inch c. 12,739 bacteria/square inch d. 4,246 bacteria/square inch

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:

Where d is the diameter.

So:

Now, to find the number of bacteria in per square inch, we divide

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

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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