Answer: The average rate of change is 3640.
Explanation:
The given function is,
[tex]f(x)=20(14)^x[/tex]
The value of f(x) at x=1.
[tex]f(1)=20(14)^(1)[/tex]
[tex]f(1)=20\times 14[/tex]
[tex]f(1)=280[/tex]
The value of f(x) at x=2.
[tex]f(2)=20(14)^(2)[/tex]
[tex]f(2)=20\times 196[/tex]
[tex]f(2)=3920[/tex]
The average rate of change of a function from x₁ to x₂ is,
[tex]\text{Rate of change}=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
[tex]\text{Rate of change}=\frac{f(2)-f(1)}{2-1}[/tex]
[tex]\text{Rate of change}=\frac{3920-280}{1}[/tex]
[tex]\text{Rate of change}=3640[/tex]
Therefore the average rate of change is 3640.
Answer:
-3.75
Step-by-step explanation:
I just took the test this is the right answer 100% sure
