Answer:
RoC is 0.75 (3/4); Equation is y=0.75x [tex](y=\frac34 x[/tex])
Step-by-step explanation:
You can easily spot that first column, x increases by 1 each line, while the second, y, increases by 0.75.
Rate of change is variation in y divided by the variation in x, or [tex]\Delta y \over \Delta x[/tex] . Replacing with the value we found, we get that the rate of change is [tex]\frac{0.75}{1}[/tex] or [tex]\frac34[/tex].
To find the equation the easiest way is to go back 4 steps, at the same rate of change, in order to find what's the value for x=0. Going back by 0.75 each step starting from 4, we obtain 2.25, 1.5, 0.75, and finally 0. Our equation becomes[tex]y=0.75x[/tex]
