Question

What is the value of k and why is the equation xy = -10 an inverse variartion function?

a.
k=10 and its an inverse variation because x+y always equals 10.

b.
k=10 and its an inverse variation because xy always equals 10.

c.
k= -10 and its an inverse variation because x+y always equals -10.

d.
k= -10 and its an inverse variation because xy always equals -10.

Answer 1

The value of k is -10, and the equation xy = -10 represents an inverse variation because the product of x and y always equals -10.

The correct answer is d.

Step-by-step explanation:

The correct answer is d. k= -10 and it is an inverse variation because xy always equals -10. In an inverse variation or inverse proportionality, the relationship between two variables is such that when one variable increases, the other decreases in proportion so the product of the two variables remains constant.

The equation xy = -10 represents this type of relationship, where x and y are inversely proportional to each other with k being the constant of variation.

This can be rewritten in the form y = k/x, where k would be -10 in this case, aligning with the definition that the product of x and y is a constant value.