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: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.

Answer 2

2

Explanation:

The statement is expressed mathematically as

`y\propto (x^2)/(z)`

Introducing the constant of variation, k

`y = k (x^2)/(z)`

`k = (yz)/(x^2)`

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

`k = (6*27)/(9^2) = 2`