To find the average rate of change, you would have to apply the formula [tex] \frac{y(2) - y(1)}{x(2) - x(1)} [/tex], and our coordinates in this case are (10, -5) and (30,30). So first, we take the y-value of the second coordinate and subtract it with the y-value of the first coordinate.
This is the formula with the coordinates inserted : [tex] \frac{30-(-5)}{30-10} [/tex] and this would, in turn, make : [tex] \frac{30+5}{30-10} [/tex]. When we add 30 and 5 together, we get 35, and 30-10 is 20. This in fraction form is : [tex] \frac{35}{20} [/tex].
Now, we simplify this further. Both numbers can be simplified with 5. This would have us end up with : [tex] \frac{7}{4} [/tex]. This, in decimal form, would be 1.75.
The average rate of change is 1.75.
