The population (in millions) of a certain island can be approximated by the function p(x)=50(1.05)^x, where x is the number of years since 2000. in which year will the population reach 200 million? hint: an answer such as 2002.4 would represent 2002. a)2028 b)2015 c)2002 d)2066

a)2028

Step-by-step explanation:

Given: The population (in millions) of a certain island can be approximated by the function   , where x is the number of years since 2000.

To find the year in  in which year will the population reach 200 million, substitute p(x)=200, we get

Taking natural log on both the sides , we get

The year will be

Hence, in 2028  the population will reach 200 million.

each side has a different length.  

step-by-step explanation: