Question

The smelliness of cheese (denoted by S) can be defined as a function of the number of bacteria in the cheese (denoted by B) and the surface area of the cheese ( denoted by A) using this formula;
S=B*A


The surface area of the cheese is measured in cm^2


Select an appropriate measurement unit for smelliness of cheese


A. cm^2/bacteria^2

B. cm^2/bacteria

C. bacteria*cm^2

D. bacteria/cm^2

Answer 1

Answer: OPTION C.

Step-by-step explanation:

Given the following formula:

$S=B*A$

You know that "S" is the smelliness of cheese, "B" is the number of bacteria in the cheese and "A" is the surface area in square centimeters of the cheese.

For example, suppose that there are $3,000\ bacterias$ in a surface area of $60 \ cm^2$.

Substitute into the formula these values:

 $B=3,000\ bacterias\\\\A=60\ cm^2$

And then evaluate:

$S=(3,000\ bacterias)(60\ cm^2)\\\\S=180,000\ bacterias*cm^2$

Therefore, you can conclude that the appropriate measurement unit  for "S" is:

$bacterias*cm^2$