Find an equation of variation when y varies inversely. Use the given values to write an equation that relates x and y. X=4, Y=36

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given:

x = 4

y = 36

Find the equation that relates to x and y.

Solution:

In order to find the equation that relates to x, and y, we simply need to find the constant of variation, which can be solve by simply multiplying x and y.

k= xy

k = (4)(36)

k =144

144 = xy

In order to solve for x, we substitute the value of y, hence in order to solve for y, we substitute the value of x in the formula for the constant of  variation.

Final answer:

144 = xy