Question

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

Answer 1

The constant of variation k is 6.

Explanation:

Given that there is inverse variation between x and y with equation

`xy=k`

we have to find the constant of variation k when x=-3 and y=-2

The inverse variation equation is:

`xy = k`

To find constant of variation we substitute the values of x and y

Put x=-3 and y=-2

`(-3)* (-2)=k`

Solve LHS by multiplying

This implies

`k= 6`

Hence the constant of variation is 6.

Answer 2

The constant of variation is 6.

EXPLANATION

The inverse variation equation is:

`xy = k`

We want to find the constant of variation, when x=-3 and y=-2.

We substitute the values for x and y to get,

`- 3 * - 2 = k`

Multiply out the left hand keeping in mind that negative times negative yields a positive result.

This implies that;

`k= 6`

Hence the constant of variation is 6.