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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 :

Abidemiokinidn

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

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