This is exponential growth and decay

Given:

In 1999, the number of mosquitos = 2500

They tripled every year.

To find:

The model for this situation and find the number of mosquitos in 2005.

Solution:

The general exponential modal is

         ...(i)

Where, a is the initial value and 0<b<1 is decay factor and b>1 is growth factor.

In 1999, the number of mosquitos is 2500.

Initial value:

They tripled every year. So, growth factor is 3>1 and it is exponential growth.

Growth factor:

Putting and in (i), we get

          ...(ii)

Here, y is the population of mosquitos after x year of 1999.

Therefore, the required exponential growth modal is .

We know that,

Putting x=6 in (ii), we get

Therefore, the estimated number of mosquitos in 2005 is 1822500.

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

560

hope this : )