Answer:
These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?
B.-15
The average rate of change for the interval from x = 7 to x = 8 will be 15. Then the correct option is B.
Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
Average rate = (y₂ - y₁) / (x₂ - x₁)
The quadratic equation with the vertex is given as
y = (x - 0)² - 1
y = x² - 1
Then the average rate of change for the interval from x = 7 to x = 8 will be
Average rate = [y(8) - y(7)] / (8 -7)
Then we have
Average rate = (64 -1 - 49 + 1) / 1
Average rate = 15
Thus, the correct option is B.
More about the average rate link is given below.
https://brainly.com/question/12395856
#SPJ2
