Question

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 2 and y = 5?

a. 10
b. -2/5
c. 5/2
d. 10

Answer 1

it A i just took the test -10

Answer 2

Keywords:

Equation of inverse variation, variables, variation constant

For this case we have an inverse variation equation given by two variables, x and y respectively. This equation is represented by:
`xy = k`, we must find the value of the variation constant "k" when
`x = 2`and
`y = 5`. Then, we must substitute the values of "x" and "y" given in the inverse variation equation and find the constant "k":

`xy = k\\2 * 5 = k\\k = 10`

Thus, the value of the constant of variation "k" is 10.

Answer:

`k = 10`

Option D