Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A table of data is given.x(-2,-1,0,1,2)f(x)(71,13,3,0.6,0.1) which exponential model best represents the data

Sagot :

The equation of the exponential model is f(x) = 3 * 0.2^x

How to determine the exponential model?

The table of data is given as:

x(-2,-1,0,1,2)

f(x)(71,13,3,0.6,0.1)

An exponential model is represented as:

f(x) = ab^x

When x= 0 and f(x) = 3;

We have:

ab^0 = 3

This gives

a = 3

When x= 1 and f(x) = 0.6

We have:

ab^1 = 0.6

This gives

ab = 0.6

Substitute 3 for a

3b = 0.6

Divide both sides by 3

b = 0.2

Substitute b = 0.2 and a =3 in f(x) = ab^x

f(x) = 3 * 0.2^x

Hence, the equation of the exponential model is f(x) = 3 * 0.2^x

Read more about exponential model at:

https://brainly.com/question/2441623

#SPJ4

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.