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?

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?
--------------
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
=======================
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.
RELATED QUESTIONS
Pressure varies inversely as the volume. When the pressure is 10 pascals, the volume is... (answered by josgarithmetic)
Pressure varies inversely as volume. When the pressure is 16 pascals, the volume is 84... (answered by asuar010)
The volume of gas varies inversely with pressure. If the volume of the gas is 80 cubic... (answered by Alan3354)
The volume V as a mass of gas varies directly as the temperature T and inversly as the... (answered by venugopalramana)
When air is pumped into a tire, the pressure required varies inversely as the volume of... (answered by Alan3354)
For a constant temperature, the pressure (P) of a gas varies inversely as the volume (V). (answered by Alan3354,greenestamps)
Pressure of a gas varies inversely with the volume. 40 liters of a gas has a pressure of... (answered by ikleyn)
The volume of a gas varies inversely as the pressure upon it. The volume of a gas is 200 (answered by josgarithmetic)
In a hydraulic cylinder, the air pressure varies inversely as the volume. If the pressure (answered by Alan3354)