Question

The variables x and y vary inversely. Use the given values to write an equation relating x and y. x=7/2 y=3/5

Answer 1

x = 21/10y

Explanation:

If the variables x and y vary inversely, this is expressed as;

x ∝ 1/y

x = k/y

k is the constant of proportionality

Given;

x = 7/2 and y = 3/5

Substitute;

7/2 =k/(3/5)

Cross multiply

k = 7/2 * 3/5

k = 21/10

Substitute the value of k into the formula;

x = k/y

x = (21/10)/y

x = 21/10 * 1/y

x = 21/10y

Hence the equation relating x and y is x = 21/10y