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Calculate the volume of air in liters that you might inhale (and exhale) in 12.0 hours. Assume that each breath has a volume of 0.435 liters, and that you are breathing 14 times a minute.

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CintiaSalazar

Taking into account the rule of three, the volume of air that you inhale (and exhale) in 12.0 hours is 4,384.8 liters.

Rule of three

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: [tex]x=\frac{cxb}{a}[/tex]

Volume of air inhaled and exhaled

To calculated the volume of air inhaled and exhaled in 12 hours, you know that each breath has a volume of 0.435 liters, and that you are breathing 14 times a minute.

The you can apply the following rule of three: If each breath has a volume of 0.435 liters, 14 breaths have how much volume?

[tex]volume=\frac{14 breathsx0.435 liters}{1 breath}[/tex]

volume= 6.09 liters

So, 14 breaths a minute have a volume of 6.09 liters, this means that in 1 minute you inhale and exhale 6.09 liters.

Now, knowing that 1 hour has 60 minutes, 12 hours has 720 minutes. So you can apply the following rule of three: in 1 minute you inhale and exhale 6.09 liters, in 720 minutes you inhale and exhale how much volume?

[tex]volume=\frac{720 minutesx6.09 liters}{1 minute}[/tex]

volume= 4,384.8 liters

In summary, the volume of air that you inhale (and exhale) in 12.0 hours is 4,384.8 liters.

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