Question

An unusually wet spring has caused the size of a mosquito population in some city to increase by 7 â% each day. If an estimated 18â0,000 mosquitoes are in the city on May 6. Find how many mosquitoes will inhabit the city on May 17 . Use y =18â0,000(1.07 )^ x where x is number of days since May 6 .

Answer 1

378873

Explanation:

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 17- May 6 = 11 days

Therefore, number of mosquitoes inhabiting the city on May 17 will be :

y = 180000(1.07)^11

y = 180000 * 2.1048519522998348950643

y = 378873.351413970281111574

y = 378873 (nearest whole number).