Question

I need help with finding the average rate of change of the function between the indicated points.

Answer 1

To find the average rate of change, you would have to apply the formula
`(y(2) - y(1))/(x(2) - x(1))`, 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 :
`(30-(-5))/(30-10)` and this would, in turn, make :
`(30+5)/(30-10)`. When we add 30 and 5 together, we get 35, and 30-10 is 20. This in fraction form is :
`(35)/(20)`.

Now, we simplify this further. Both numbers can be simplified with 5. This would have us end up with :
`(7)/(4)`. This, in decimal form, would be 1.75.

The average rate of change is 1.75.