For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 58 and the width is 3. For this set of rectangles, calculate the width of a rectangle whose length is 2.

The width is 87

Step-by-step explanation:

Given

Represent Length with L and Width with W

Variation: Inverse Proportion

Required

Solve for W when L = 2

First, we need to determine the constant of variation

Where

k = constant of variation

Substitute the following values:

Solve for k

To solve for W when L = 2, we simply substitute values for L and K in the expression

Solve for W

Hence, the width is 87

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

do i do it on a graph?

step-by-step explanation: