Which function has the greatest positive rate of change?
The functions are linear functions, so rearrange them all in the form y = mx + c, where m is the slope, or rate of change.
A. 3x-2y=5 --> y = (3/2)x - 5/2. m = 3/2
B. 2x-3y=6 --> y = (2/3)x - 2. m = 2/3
C. x+4y=2 --> y = x/4 - 1/2. m = 1/4
D. 5x+y=9 --> y = -5x - 9. m = -5
The greatest positive slope (rate of change) is m = 3/2, with option A