Question

The quantity y varies directly with the square of x and inversely with zWhen x is 9 and z is 27, y is 6What is the constant of variation?

Answer 1

Answer:

2

Step-by-step explanation:

The statement is expressed mathematically as

$y\propto \dfrac{x^2}{z}$

Introducing the constant of variation, k

$y = k \dfrac{x^2}{z}$

$k = \dfrac{yz}{x^2}$

When x = 9 and z = 27, y = 6.

$k = \dfrac{6\times27}{9^2} = 2$

Answer 2

Answer:The constant K is 2.

Step-by-step explanation:Y =K( x2/z) substituting when Y =6, x =9 and z = 27

Then 6 = k (81/27)

6 = k(3) then dividing both sides of the equation by 3

Then K ie constant is 2.