Assume the world population will continue to grow expotentially

Question

Assume the world population will continue to grow exponentially with a growth constant k=0.0132 (corresponding to a doubling time of about 52 years),

 

it takes 1/2 acre of land to supply food for one person, and

 

there are 13,500,000 square miles of arable land in the world.

 

How long will it be before the world reaches the maximum population? Note: There were 6.06 billion people in the year 2000 and 1 square mile is 640 acres.

 

The maximum population will be reached some time in the year:_________

Answer 1

1.35 x 10⁷ mi²

864 x 10⁷ acres

8.64 x 10⁹ acres

17.28 x 10⁹ people supported

1.728 x 10¹⁰

 

1.728 x 10¹⁰ = (6.06 x 10⁹)e^0.0132t