Final answer:
The rate of change between the points (2,20) and (5,47) is 9. Option a
Step-by-step explanation:
To find the rate of change between the points (2,20) and (5,47), we first need to calculate the difference in the y-coordinates and the difference in the x-coordinates. The rate of change, or slope, is equal to the change in y divided by the change in x:
Slope = (y2 - y1) / (x2 - x1)
Slope = (47 - 20) / (5 - 2)
Slope = 27 / 3
Slope = 9
Therefore, the rate of change between the two points is 9. Option a