Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
The money Terry invested is modeled by the function [tex]f(x)=0.01(2)^x[/tex] where x represents number of days.
The average rate of change from day 2 to day 10 is given by:
[tex]\frac{f(10)-f(2)}{10-2}[/tex]
[tex]f(10)=0.01(2)^{10}=10.24[/tex]
[tex]f(2)=0.01(2)^{2}=0.04[/tex]
The average rate of change becomes:
[tex]\frac{10.24-0.04}{8}[/tex]
[tex]=\frac{10.2}{8}=1.275[/tex]
