Right now it's at
E (-5, 1)
F (-3, 3)
G (1, -3)
dilated by 6 it would be
E (-30, 6)
F (-18, 18)
G (6, -18)
Rate of change = difference in y values / corresponding difference in x values
For the first function it is (7-6) / (3 - 0) = 1/3
For the second function its the slope of the line rise / run = 2/6 = 1/3
So they are the same
Option C