5. Find the area of a triangle with sides a = 5, b = 8, and c = 11.
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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.