Question

For the inverse variation equation xy=k, what is the constant of variation, k, when x= -3 and y =-2?

Answer 1

Value of constant of variation,k is:

6

Explanation:

We are given a inverse variation equation:

xy=k

where k is the constant of variation

We have to find k given x= -3 and y= -2

k= xy

⇒ k= -3×(-2)

⇒ k= 6

Hence, Value of constant of variation,k is:

6

Answer 2

we know that

the equation of the inverse variation is
x*y=k----> equation 1

where
k is the constant of variation

so
for x=-3 and y=-2

to find the value of k,
substitute the values of x and y in the equation 1
(-3)*(-2)=k
k=6

the answer is
k=6