Question

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

Answer 1

The value of x is 5.

Step-by-step 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`
`(1)/(y)`

⇒ x =
`(k)/(y)`

where k is the constant of proportionality.

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

25 =
`(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 =
`(75)/(15)`

= 5

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