Question

Write an exponential function to represent both of these

1: 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.

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

Answer 1

He got it right fosho fosho

Answer 2

1.
`y = 2(3)^x \ or \ y = 6^x`

2.
`y = 10(2)^x \ or \ y = 20^x`

Explanation:

1. Solution for 1st part.

Given:

Ben shared his post with 2 friends

Each of those friends shares with 3 more every day.

the number of shares triples every day.

From the data given above, we can make the following:

`N(0) = 2 * 3^0 = 2\\N(1) = 2 * 3^1 = 6\\N(2) = 2 * 3^2 = 18`

An exponential function is represented by:

`y = ab^x`

where a is the initial value and b is the growth rate.

The exponential function for this case would be:

`y = 2(3)^x \ or \ y = 6^x`

2. Solution for part 2.

Given:

Carter shared his post with 10 friends.

each share with only 2 people each day.

From the data given above, we can make the following:

`N(0) = 10 * 2^0 = 10\\N(1) = 10 * 2^1 = 20`

An exponential function is represented by:

`y = ab^x`

where a is the initial value and b is the growth rate.

The exponential function for this case would be:

`y = 10(2)^x \ or \ y = 20^x`