Answer:
The rate of change between these on average is 11.
Step-by-step explanation:
In order to find these, we need to evaluate the equation at both points.
x^2 + 2x + 3
2^2 + 2(2) + 3
4 + 4 + 3
11
This gives us the ordered pair of (2, 11)
x^2 + 2x + 3
7^2 + 2(7) + 3
49 + 14 + 3
66
This gives us the ordered pair of (7, 66)
Now we use these two points in the slope formula to find the rate of change.
m(slope) = (y2 - y1)/(x2 - x1)
m = (66 - 11)/(7 - 2)
m = 55/5
m = 11
