Variation and Problem Solving
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| What is Inverse Variation? | Inverse variation is when y varies inversely to x, or when y is inversely proportional to x, if there is a non-zero constant k such that
y=k/x
The number k is called the constant of variation or the constant of proportionality.
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| What is Direct Variation? | Direct variation is when y varies directly as to x, or y is directly proportional to x, if there is a non-zero constant k such that
y=kx
The number k is called the constant of variation or the constant of proportionality.
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| What is Joint Variation? | If the ration of a variable y to product of two or more variables is constant, then y varies jointly as, or is jointly proportional to, the other variables. If
y=kxz
then the number k is the constant of variation.
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| Solve y=21 when x=7 | Utilize the direct variation formula y=kx
Therefore, 21=k(7)
Divide both sides by 7 to isolate k
21/7=k7/7
3=k
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| Is the following equation a direct, inverse, or joint variation? y=3/4x | Direct variation
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| Is the following equation a direct, inverse, or joint variation? y=3xz | Joint variation
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| Is the following equation a direct, inverse, or joint variation? y=200/x | Inverse variation
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Created by:
jameystamper
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