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Verified Answer :

it A i just took the test -10

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