Is the relationship between the varibles in the table a direct variation, an inverse or neither? If it is a direct inverse write a function to model it. X= -2 3 5 6 Y= -11 4 13 32 ------------------------------------------------------------- If it is a direct variation, then if we substitute all of them in the equation Y = kK the value of k will be the same. -11 = k(-2) -11 = -2k= k = k 4 = k(3) 4 = 2k = k = k So it can't be a direct variation because those two values of k are not the same. But we might as well see what the other values of k are: 13 = k(5) 13 = 5k = k = k = k They certainly aren't all the same, so this is not a direct variation. If it is an inverse variation, then if we substitute all of them in the equation Y = the value of k will be the same. -11 = 22 = k 4 = 12 = k So it can't be an inverse variation either because those values of k are not the same. But we might as well see what the other values of k are: 13 = 65 = k 32 = 192 = k They certainly aren't all the same! So it's not an inverse variation either. So it's NEITHER! However, the data fits the formula: Y = Edwin