SOLUTION: Pressure varies inversly as volume. When the pressure is 16 pascals, the volume is 84 liters. What would the volume be if the pressure is reduced to 12 pascals?

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Question 86986This question is from textbook Saxon, Algebra 1
: Pressure varies inversly as volume. When the pressure is 16 pascals, the volume is 84 liters. What would the volume be if the pressure is reduced to 12 pascals? This question is from textbook Saxon, Algebra 1

Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Pressure varies inversely as volume. When the pressure is 16 pascals, the volume is 84 liters. What would the volume be if the pressure is reduced to 12 pascals?
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P = k/V
Need to find k.
16 = k/84
k= 1344
EQUATIOn:
P = 1344/V
12 = 1344/V
V=1344/12
V = 112 liters
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Cheers,
Stan H.

Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
You can write the proportion from the given data:
The pressure varies inversely as the volume, so:
where k is the proportionality constant. This can be written:
When:
P = 16 Pascals.
V = 84 liters, then:

So the proportionality equation is:
or
Substitute V = 12 Pascals and solve for V.

Liters.