This project is due Monday and I would love it if someone would check my problems and answers. I have been sick with a stomach flu since wed and have not been able to show the teacher my progress. PLEASE HELP!!!

World Population Trends
Starting Tips:
The two most reasonable points to make a prediction about the future are points (1970, 3,680,000,000) and (2006, 6,552,000,000). In thirty six years, from 1970 to 2006, the total human population almost doubled. Multiplying 3,680 by 1.7555 I got 6,460.24 Giving a clear prediction that in another 36 years the population will probably double again.
6552 = 3680(1 + r)2006 – 1970
(819/460) = (1 + r)36
(819/460)1/36 = 1 + r

(819/460)1/36 – 1 = r
0.016152892 = r
0.01615 ? r
y = 3680(1.016152892)x – 1970
There is a 1.6152892% increase.
So then what will the population be approximately in another thirty six years?
y = 3680(1.016152892)2042 – 1970
y = 3680(1.016152892)72
y = 3,680(3.16994802)
y = 11665.40871
y ? 11665.4087

The Facts:
The total surface area of the earth is approximately 196,930,000 square miles. Approximately 29.2% of earths total surface area is land. Each person takes up one square foot of land.
(196,930,000)(0.0292) = 57,503,560 sq miles of land.
This then means that approximately 57,503,560 square miles is land and I need to convert square miles to square feet.
1sq miles = 27,878,400 sq feet
(57,503,560 sq miles)(27,878,400 sq feet) = 1.60310725 x 1015
160,310,725,000,000,000,000,000 sq feet
The Question:
If this pattern of data continued, how long do you think it would take until we were all squashed up against one another?
Meaning that if each person takes up one square foot of land that means there will have to be 160,310,725,000,000,000,000,000 people to get to where everyone was squished up together. To find how long this would take the use of logarithms are in need.
1.60310725 x 1015 = 3,680 x 106 (1.016152892)x – 1970
435626.9701 = (1.016152892)x – 1970
log(435626.9701) = log(1.016152892x – 1970)
log(435626.9701) = (x – 1970)log(1.016152892)
log(435626.9701)/log(1.016152892) = x – 1970
[log(435626.9701)/log(1.016152892)] + 1970 = x
1977.796564 = x
1977.7966 ? x
1977.796564 + 1970 = 3947.796564
1977.796564 + 1970 ? 3947.7966
In 3947 the world will no longer have any room.
Some factors that could change this estimated population could be some of the following:
disease, war (nuclear killing billions), meteor(s), global warming, natural disasters (volcanoes, earthquakes, storms), poisoning of the environment through our waste, infertility of the human race, the sun either exploding or dieing, and over cutting creating a unbreathable earth.