Xvaries inversely as y2, and x = 4 when y = 10. find x when y = 2. a. x = 16 b. x = 5 c. x = 80 d. x = 100

Because the expressions x and y² varies inversely, the equation that can be used in order to relate them is,
     y² = k/x

k here is the constant of proportionality. Using the first set of given, x = 4 and y = 10, we determine the value of the proportionality constant. 

      k = (x)(y²)

Substitute the known values to the equation,
   k = (4)(10²) = 400

The completed equation for the relation is therefore,
    y² = 400/x

Substituting the value of y to this equation,
 (2²) = 400/x

The value of x is 100. 

ANSWER: D. x = 100