Question

If x and y vary inversely and x =25 , when y =3 find x when constant of variation =15​

Answer 1

Answer:

The value of x is 5.

Explanation:

An inverse variation is a relationship between two variables in which as the value of one increases, the value of the other decreases.

Thus,

x $\alpha$ $\frac{1}{y}$

⇒ x = $\frac{k}{y}$

where k is the constant of proportionality.

Given that: x = 25, y = 3, then;

25 = $\frac{k}{3}$

k = 3 x 25

  = 75

The constant of variation is 75.

The value of x when y = 15 can be determined as;

x = $\frac{75}{15}$

  = 5

The value of x when k = 75 and y = 15 is 5.