Question 7 • VT-VA-EOC-SOL-Algebra I: Functions and Statistics
Boyle’s law states that when considering gases, volume varies inversely with pressure. If V represents the volume of the gas and P represents the pressure of the gas, what would the formula be that represents this relationship? If a balloon has a volume of 4 L of gas with a pressure of 5 atmospheres, what will the volume be when the pressure is 3 atmospheres?
Answer
A
The formula is V = kP, and when P = 3, V = .
B
The formula is V = kP, and when P = 3, V = .
C
The formula is k = VP , and when P = 3, V = 4.
D
The formula is k = VP, and when P = 3, V = .
Explanation
Inverse variation means volume times pressure stays constant, so Boyle’s law is k = VP. Using the initial values, k = 4 × 5 = 20. At a pressure of 3 atmospheres, V = 20 ÷ 3 = 6⅔ liters, so the choice with k = VP and that volume is correct.
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