Is yz=5x an inverse variation?

Lucille Douglas

Lucille Douglas

Answered question

2022-09-02

Is yz=5x an inverse variation?

Answer & Explanation

Karson French

Karson French

Beginner2022-09-03Added 15 answers

y and z are inversely proportional to each other since yz=5x implies that y = 5 x z (an z = 5 x y ). Therefore, the equation yz=5x defines and inverse variation relative to y and z.
On the other hand, since x = 1 5 y z , the original equation defines a direct variation (proportionality) between x and y and between x and z.
A couple practical consequences of these facts:
1) If z doubles, then y will be cut in half. If z triples, then y will be cut by a third. Etc...
2) If y or z double (one or the other, not both), then x will double. If y or z triple (one or the other, not both), then x will triple. Etc...
so
It depends on which variables you are talking about. y and z are inversely proportional to each other, but x and y as well as x and z# are directly propotional to each other.

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