ANSWER
The constant of variation is 6.
EXPLANATION
The inverse variation equation is:
[tex]xy = k[/tex]
We want to find the constant of variation, when x=-3 and y=-2.
We substitute the values for x and y to get,
[tex] - 3 \times - 2 = k[/tex]
Multiply out the left hand keeping in mind that negative times negative yields a positive result.
This implies that;
[tex]k= 6[/tex]
Hence the constant of variation is 6.
Answer:
The constant of variation k is 6.
Step-by-step explanation:
Given that there is inverse variation between x and y with equation
[tex]xy=k[/tex]
we have to find the constant of variation k when x=-3 and y=-2
The inverse variation equation is:
[tex]xy = k[/tex]
To find constant of variation we substitute the values of x and y
Put x=-3 and y=-2
[tex](-3)\times (-2)=k[/tex]
Solve LHS by multiplying
This implies
[tex]k= 6[/tex]
Hence the constant of variation is 6.
