Express the sentence as a formula. Assume that $k$ is a constant of variation. For a fixed area, the length l of a rectangle varies inversely with its width $y$ .
A) $l = k y$
B) $l = \sqrt [ k ] { y }$
C) $l = k + y$
D) $l = y ^ { k }$
E) $l = \frac { k } { y }$

Question

Quizplus · Accepted Answer

The sentence states that the length varies inversely with the width. Inverse variation means that one variable is equal to a constant divided by the other variable. Therefore, the formula should be of the form $l = \frac { k } { y }$, where $y$ represents the width and $k$ is the constant of variation.

Express the Sentence as a Formula kkk Is a Constant of Variation

Express the Sentence as a Formula $k$ Is a Constant of Variation