What is the multiplicative rate of change for the following coordinates (-1, .8) (0,2) (1,5) (2,12.5)

We can present these coordinates in tabulate form

    x         y
   -1       0.8
   0         2
    1         5
    2      12.5

We work the multiplicative rate of change by finding out the increase ratio

12.5 ÷ 5 = 2.5
5 ÷ 2 = 2.5
2 ÷ 0.8 = 2.5

The ratio results in the same ratio every time, which is 2.5

The multiplicative rate of change = 2.5