Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table:

Student

Amber

Ben

Carter

Description

Amber shared her photo with 3 people. They continued to share it, so the number of shares increases every day, as shown by the function.

Ben shared his post with 2 friends. Each of those friends shares with 3 more every day, so the number of shares triples every day.

Carter shared his post with 10 friends, who each share with only 2 people each day.


Social Media Post Shares

f(x) = 3(4)x


Day
0
1
2
number of shares
2
6
18


Write an exponential function to represent the spread of Carter's social media post.

Sagot :

abidemiokin

The exponential model that best represents the data is f(x) = 2(3)x

Exponential equation

Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x

where

a is the base

x is the exponent

Using the coordinate points (0, 2) and (1, 6)

Substitute

2 = ab^0
6 = ab

Take the ratio
6/2 = ab/a
3 = b

Determine the value of 'a"

Recall that

6 = ab

6 = 3a

Divide both sides by 3

3a/3 = 6/3

a = 2

Hence the exponential model that best represents the data is f(x) = 2(3)x

Learn more on exponential model here: https://brainly.com/question/2456547

#SPJ1

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.