Question

multiple choice question
the air pressure within a container is inversely related to the volume of the container. thus, as the volume of the container____ the pressure of the air within it____
o increases; stays the same
o decreases; increases
o increases; increases
o decreases; decreases
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Explanation:

When two variables are inversely related, an increase in one variable leads to a decrease in the other variable, and vice versa. Here, air pressure \(P\) and volume \(V\) are inversely related (\(P=\frac{k}{V}\), where \(k\) is a constant). So, if the volume of the container decreases (\(V\) gets smaller), then the pressure (\(P=\frac{k}{V}\)) increases (since dividing a constant \(k\) by a smaller number gives a larger result).

Answer:

decreases; increases