Show that an exponential model fits the data. Then write a recursive rule that models the data. n 0 1 2 3 4 5 f(n)96 54 48 24 12 6 3 ​

Tammy Todd

Tammy Todd

Answered question

2021-06-10

Show that an exponential model fits the data. Then write a recursive rule that models the data.
n 0 1 2 3 4 5 f(n)96 54 48 24 12 6 3 ​

Answer & Explanation

delilnaT

delilnaT

Skilled2021-06-11Added 94 answers

The given function represents an exponential model if every consecutive value is the previus value multiplied by a costant b that is called the growth (decay) factor. We not then that this table represents an exponential model, because the decay factors is 1/2.
The recursive rule is f(0)=a and f(n)=bf(n1) with a the initial value (at n=0) and b is the growth factor (or decay factor if b<0).
Since a=92 and b=12 we then obtain the recursive rule: f(0)=96
f(n)=12f(n1)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?