SOLUTION: at the waters surface, air exerts 1 atmosphere (atm) of pressure. under water, the pressure increases. The pressure P (atm) varies with depth d(ft) according to the equation P=(d/3

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Question 705333: at the waters surface, air exerts 1 atmosphere (atm) of pressure. under water, the pressure increases. The pressure P (atm) varies with depth d(ft) according to the equation P=(d/33)+1. Boyles law says the volume V of air varies inversely with the pressure P. If you hold yur breath the volume of air in your lungs increases as you ascend. when have 4 qt air in lungs at a depth of 66 ft (P=3atm), the air will expand to 6 qt when you reach 33 ft, where P=2atm.
* make graph&table to show how volume of air in your lungs varies with depth.
* make table&graph to show how volume of air in lungs varies with pressure.. please help!
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Use the two-point form of an equation of a line to derive the volume as a function of depth equation. The two points being (66,4) and (33,6).

Then use the two-point form again to derive the volume as a function of pressure equation with the points (3,4) and (2,6).

Two Point Form

where and are the coordinates of the given points.

Once you have done the arithmetic to simplify your equations, a graph and a table is trivial.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it