Question

Write an exponential function to represent both of these

Answer 1

Answer:

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

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

Step-by-step 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:

$N(0) = 2 \times 3^0 = 2\\N(1) = 2 \times 3^1 = 6\\N(2) = 2 \times 3^2 = 18$

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:

$N(0) = 10 \times 2^0 = 10\\N(1) = 10 \times 2^1 = 20$

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:

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