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Example Questions
Example Question #361 : Algebra
varies directly as the square of
and the cube root of
, and inversely as the fourth root of
. Which of the following is a true statement?
varies directly as the square root of
and the eighth root of
, and inversely as the sixth power of
.
varies directly as the square root of
, and inversely as the eighth power of
and the sixth power of
.
varies directly as the square root of
and the eighth power of
, and inversely as the sixth root of
.
varies directly as the square root of
and the eighth root of
, and inversely as the sixth root of
.
varies directly as the square root of
, and inversely as the eighth root of
and the sixth root of
.
varies directly as the square root of
and the eighth root of
, and inversely as the sixth root of
.
varies directly as the square of
and the cube root of
, and inversely as the fourth root of
, so, for some constant of variation
,
We take the reciprocal of both sides, then extract the square root:
Taking as the constant of variation, we see that
varies directly as the square root of
and the eighth root of
, and inversely as the sixth root of
.
Example Question #362 : Algebra
If varies inversely as
, and
when
, find
when
.
The formula for inverse variation is as follows:
Use the x and y values from the first part of the sentence to find k.
Then use that k value and the given x value to find y.
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