give that the variable y varies inversely as x, write an equation relating x and y. x=-5,y=-30

Question

 give that the variable y varies inversely as x, write an equation relating x and y.  x=-5,y=-30

Answer 1

The equation of an inverse variation has the form:

 

     y = k/x

 

where k is a constant.  To find k, plug in the given x and y values (x=-5, k=-30) and solve for k:

 

     y = k/x

     -30 = k/(-5)

     (-30)*(-5) = k

 

     150 = k

 

The final inverse variation equation is:

 

     y = 150/x