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|| Problems
Variations
Let y be a function of x.
1. Direct Variation
y = kx
k ≠ 0 called the proportionality constant or the constant of variation.
Terms Used
y is proportional to x
y is directly proportional to x
y varies as x
y varies directly as x
Example:
A number x is proportional to w.
x = kw
2. Inverse Variation
y = \(\frac{k}{x}\)
Terms Used
y varies inversely as x
y is inveresely proportional to x
Example
A number q is inversely proportional to p.
q = \(\frac{k}{p}\)
3. Joint Variation
y = kxw
y = \(\frac{kx}{w}\)
Terms Used
y varies jointly as x and w.
y proportional to x and w
y proportional to x and inversely proportional to w
Example
A number q is directly proportional to m and inversely proportional to p.
q = \(\frac{km}{p}\)