Answer:
rate of change of A= 2
rate of change of B = 3
B has a greater rate of change
Explanation:
In linear function, the rate of change is the same as the slope. To find slope you need to divide the difference of y coordinate with x coordinate of two points. The formula to find slope is:
m= (y2-y1)/ (x2-x1)
Function A have (1, 5) and (2, 7) coordinate. The rate of change will be
m= (y2-y1)/ (x2-x1)
m= (7-5)/ (2-1)= 2/1
m= 2
Function B have (1, 1) and (2, 4) coordinate. The rate of change will be:
m= (y2-y1)/ (x2-x1)
m= (4-1)/ (2-1)= 3/1
m= 3
Hope this helped!