Question

What is the average rate of change of the function

Answer 1

Answer:

Average rate of change $=-35.7084$

Step-by-step explanation:

Given function is $f(x)=480(0.3)^x$ and we need to find average rate of change of the function from $x=1\ to\ x=5$.

Average rate of change $=\frac{f(b)-f(a)}{b-a}$

So,

$here\ b=5\ and\ a=1\\f(5)=480(0.3)^5\\=480\times0.00243=1.1664\\and\\f(1)=480(0.3)^1\\=480\times0.3=144$

Average rate of change

$=\frac{f(b)-f(a)}{b-a}\\\\=\frac{f(5)-f(1)}{5-1}\\\\=\frac{1.1664-144}{5-1}\\\\=\frac{-142.8336}{4}= -35.7084$

Hence, average rate of change of the function $f(x)=480(0.3)^x$ over the intervel $x=1\ to\ x=5$ is $=-35.7084$.