Alright. And so the problem is a little long, it's an exponential problem. I usually get these but this one is different. The world population in 2005 was 6.2 billion and growing exponentially at a rate of 1.14% per year. the function P(t)=6.2(10^0.005t) provides a good model for the population growth pattern. In this model what does P(t) represent and what does t represent

Also says Explain how you can be sure that this function givesthe correct popuation in 2005

Question

Alright. And so the problem is a little long, it's an exponential problem. I usually get these but this one is different. The world population in 2005 was 6.2 billion and growing exponentially at a rate of 1.14% per year. the function P(t)=6.2(10^0.005t) provides a good model for the population growth pattern. In this model what does P(t) represent and what does t represent

Also says Explain how you can be sure that this function givesthe correct popuation in 2005

wolf1728 · Answer

If the population increases by 1.14% per year shouldn't the formula be 
P(t)=6.2*(10^0.0114t) and 
NOT P(t)=6.2(10^0.005t)

P(t) represents the world's population (in billions) after 't' years.
It gives the correct population for 2005 because 
P(t)=6.2*(10^0.0114t) t =0
and so P(t) = 6.2 * 10^0 = 6,2 and that is the population stated already.

anonymous · Answer

Thanks this really helped. Yea I think it should be .0114 it's probably just a typo since that's what my paper says.

wolf1728 · Answer

Population after 1 year
P(t)=6.2*(10^0.0114*1)
P(t)=6.2*(10^0.0114*1)
P(t)=6.2*10^.0114
P(t)=6.2*10^1.0265970218
P(t)=6.508 billion

wolf1728 · Answer

okay glad to help out

anonymous · Answer

This was seriously really helpful! Thanks A LOT!