what is the rate change between (4,10.5) and (7,15.75)

To determine the rate of change between the points (4,10.5) and (7,15.75), we need to calculate the change in the values of y (vertical change) divided by the change in the values of x (horizontal change).

The change in y = 15.75 - 10.5 = 5.25
The change in x = 7 - 4 = 3

Therefore, the rate of change is 5.25/3 = 1.75.