the average rate of change from ( x = 0 ) to ( x = 15 ) is about -4.667. how does the average rate of change…

the average rate of change from ( x = 0 ) to ( x = 15 ) is about -4.667. how does the average rate of change from ( x = 0 ) to ( x = 20 ) compare to this number? the average rate of change from ( x = 0 ) to ( x = 20 ) is decreasing slower than the average rate of change from ( x = 0 ) to ( x = 15 ). complete suppose that the height of the slide is 2 feet, when ( x = 20 ). what is the average rate of change over the entire slide? done

the average rate of change from ( x = 0 ) to ( x = 15 ) is about -4.667. how does the average rate of change from ( x = 0 ) to ( x = 20 ) compare to this number? the average rate of change from ( x = 0 ) to ( x = 20 ) is decreasing slower than the average rate of change from ( x = 0 ) to ( x = 15 ). complete suppose that the height of the slide is 2 feet, when ( x = 20 ). what is the average rate of change over the entire slide? done

Answer

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function (y = f(x)) over the interval ([a,b]) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 0), (b=20), (f(0)=80) and (f(20) = 2).

Step2: Substitute the values into the formula

Substitute (a = 0), (b = 20), (f(0)=80) and (f(20)=2) into (\frac{f(b)-f(a)}{b - a}). We get (\frac{2 - 80}{20-0}).

Step3: Simplify the expression

First, calculate the numerator (2-80=-78). Then, divide by the denominator (20). So, (\frac{-78}{20}=-3.9)

Answer:

(-3.9)