If y varies directly with x, find the constant of variation with x = 4 and y = -24

If y varies inversely with x, find the constant of variation with x=5 and y = 10

If y varies directly with x, and y = 35 when x = 5 , find x when y = -7

If y varies directly with x, and y = -12 when x = 6, find x when y = -4

If y varies inversely with x, and y = 8 when x = 10 , find x when y = 4

If y varies inversely with x, and y = -5 when x = 20, find x when y = -4

I need the answer to these very, very, badlyyyyy!!!

There were 6 rows of these I completed the first rows, this a row, and I'm currently working on the last row.

1 answer

direct: y = kx, so k = y/x
inverse: xy = k

If y varies directly with x, find the constant of variation with x = 4 and y = -24
k = y/x = -24/4 = -6

If y varies inversely with x, find the constant of variation with x=5 and y = 10
k = xy = 5*10 = 50

and do the others in like wise.