Question

What is the average rate of change of the function

f(x)=480(0.3)x from x = 1 to x = 5?

Enter your answer, as a decimal, in the box.
Do not round your answer.

Answer 1

-35.8074 is the correct answer

Explanation:

Answer 2

Average rate of change
`=-35.7084`

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
`=(f(b)-f(a))/(b-a)`

So,

`here\ b=5\ and\ a=1\\f(5)=480(0.3)^5\\=480*0.00243=1.1664\\and\\f(1)=480(0.3)^1\\=480*0.3=144`

Average rate of change

`=(f(b)-f(a))/(b-a)\\\\=(f(5)-f(1))/(5-1)\\\\=(1.1664-144)/(5-1)\\\\=(-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`.