Answer:
The average rate of change of the height [tex]A_{rate}=1.8[/tex]
Step-by-step explanation:
The average rate of change of a function is given by:
[tex]A_{rate}=\frac{f(b)-f(a)}{b-a}[/tex]
Where:
f(x) is the funtion, in our case [tex]f(x) = y = -0.05x^{2}+3.2x+8[/tex]
f(b) is the function evaluated in b, when b = 20
f(a) is the funtion evaluated in a, when a = 8
Let's find f(a) and f(b):
[tex]f(8) = -0.05(8)^{2}+3.2(8)+8=30.4[/tex]
[tex]f(20) = -0.05(20)^{2}+3.2(20)+8=52[/tex]
Therefore, using the average rate of change equation.
[tex]A_{rate}=\frac{52-30.4}{20-8}=1.8[/tex]
I hope it helps you!
