Answer:
Average rate of change = 24.2
Step-by-step explanation:
[tex]f(x)=\frac{1}{2}3^x[/tex]
Average rate of change formula is on interval a to b is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Given interval is x=0 to x=5
a=0 and b=5
Average rate = [tex]\frac{f(5)-f(0)}{5-0}[/tex]
[tex]f(0)=\frac{1}{2}3^0=\fracc{1}{2}=0.5[/tex]
[tex]f(5)=\frac{1}{2}3^5=\frac{3^5}(2}=121.5[/tex]
Average rate = [tex]\frac{f(5)-f(0)}{5-0}[/tex]
Average rate = [tex]\frac{121.5-0.5}{5}=24.2[/tex]
Average rate of change = 24.2
