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Inverse Variation: Solving Problem Formula
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MarkFL
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The statement that pressure $P$ varies inversely with area $A$ may be written mathematically as:
$$P=\frac{k}{A}\tag{1}$$
Where $k$ is called the constant of proportionality. We may determine $k$ from the information provided, namely that we know the pressure for a given area. We are given:
$$(A,P)=(40,4)$$
Substitute that ordered pair into equation (1), and then solve for $k$...what do you get? You should in fact find that the value of $k$ makes perfect sense here. ;)
$$P=\frac{k}{A}\tag{1}$$
Where $k$ is called the constant of proportionality. We may determine $k$ from the information provided, namely that we know the pressure for a given area. We are given:
$$(A,P)=(40,4)$$
Substitute that ordered pair into equation (1), and then solve for $k$...what do you get? You should in fact find that the value of $k$ makes perfect sense here. ;)
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