Question

I answered the First one that was making this table. I'm stuck after.

1

Year	Population
2000	6 x 109
2050	12 x 109 = 1.2 x 1010
2100	24 x 109 = 2.4 x 1010
2150	48 x 109 =4.8 x 1010
2200	96 x 109 = 9.6 x1010
2250	192 x 109 = 1.92 x 1011
2300	384 x 109 = 3.84 x 1011
2350	768 x 109 = 7.68 x 1011
2400	1536 x 109 = 1.536 x 1012
2450	3072 x 109 = 3.072 x1012
2500	6144 x 109 = 6.144 x 1012
2550	12288 x 109 = 1.2288 x 1013
2600	24576 x 109 = 2.4576 x 1013
2650	49152 x 109 = 4.9152 x 1013
2700	98304 x 109 = 9.8304 x 1013
2750	196608 x 109 = 1.96608 x 1014
2800	393216 x 109 = 3.93216 x 1014
2850	786432 x 109 = 7.86432 x 1014
2900	1572864 x 109 = 1.572864 x 1015
2950	3145728 x 109 = 3.145728 x 1015
3000	6291456 x 109 = 6.291656 x 1015

2. Approximately 71% of the Earth’s surface is water. The total surface area of the Earth is approximately 5.1 x 10¹⁴ m². PART A: How many square meters of the Earth’s surface is not water? Show your work. Don’t round. Write your answer using scientific notation. PART B: Assuming that people could occupy only the land part of the Earth, approximately when would people be so crowded that every person would have only 1 m² of space? Refer to the table you created in question 1 to answer this. Provide an approximate year.
3. Suppose that, when we take into account the area needed to grow food and to find other resources, each person actually requires about 10,000 m² of area to survive. About when (using the table from question 1) would we reach this limit? Use your answer from #2, PART A to help with this one because we are assuming that we can only live and grow food on land. Show your work. Provide an approximate year.
4. Suppose that we learn to colonize other planets and moons in our solar system. The total surface area of the worlds in our solar system that could potentially be colonized (not counting gas planets such as Jupiter) is roughly 5 times the total surface area of the Earth,

5(5.1 x 10¹⁴)=2.55 x 10¹⁵ m² including all of the surfaces covered by water. Could humanity fit in our solar system in the year 3000, assuming each person needs 1 m² of space? Explain with complete sentences. Use the table you created in question 1 to help you answer this.

5. Input the table into the graphing calculator or the online calculator. If using a graphing calculator, turn on plot 1. Use ZoomStat to view the scatter plot of this data.

Sketch a picture or insert an image of what you see on the calculator or on the screen.

6. Use a graphing calculator or online resource to determine the linear regression equation for this data. Write the equation of the line rounded to 4 significant digits. The numbers should be in scientific notation.

7. Use a graphing calculator or online resource to view the graph of the line for #6. If you are using a graphing calculator, turn off plot 1. Leave the window settings as they are. Put the equation from #6 in "y=" and click "Graph."

Sketch a picture or insert the image of what you see on the calculator or on the screen.

8. Use a graphing calculator or online resource to determine the exponential regression equation for this data. Write the equation rounded to 4 significant digits.
9. Use a graphing calculator or online resource to view the graph of the equation for #8. If you are using a graphing calculator, leave the window settings as they are. Put the equation from #8 in "y=" and click "Graph." Sketch a picture or insert the image of what you see on the graphing calculator or on the screen.
10. Compare your plot from #5 with your graphs in #7 and #9. Is this data linear or exponential? How do you know? Write in complete sentences.
11. If your answer to #10 is linear, use the linear equation to predict the human population in the year 5000. If your answer to #10 is exponential, use the exponential equation to predict the human population in the year 5000. Find this value by substituting 5000 in for x into the selected equation. Show your work. Use 4 significant digits in your answer.
12. Is it appropriate to use this rate of growth to determine the human population in the year 5000? Why or why not? Use complete sentences.
13. Read the information on the following websites, and answer the questions in complete sentences.

https://worldpopulationhistory.org/carrying-capacity/ (Links to an external site.)

https://worldpopulationhistory.org/projecting-global-population/ (Links to an external site.)

part a: How does the graph titled “Human Population 1 CE – 2050 CE” compare to your plot in #5?

part b: Based on the reading, describe one way we can continue to sustain human life on Earth far into the future.

part c: If you were tasked with solving the Earth’s human population problem, what would you do? This is an “out of the box” type of question where you can be as creative as you wish.

Answer 1

We will use concepts of lnx and GP series

Let population in ycor += 2000+ 5on is P(A). . Giun data is in GP Series with Common ratio 2. :: Let P(2000+ 50 m) = 2-2 for neo, 16xlos P(2000) - a

.. P(2000+ 50n) = 6x109x2 =(21++ 2 ***) x 10$ ② Area of water surface = (100-71% of tatal Area 29 100 X 5.1 x 1014 ma m2 B Land Area - 11.479 X 1014 71% of tatal - = 71 x S.IX 1014 m2 3,621 X7014 m. im² = 3.62 x 1014 If t person takes no. af persons → 62 **+25+) x 103 = 3.621 % 1014 (3)(2-) = 3.621 xlos 2n = 1.207 X 105 In(1.207 X105) > ma In 2 16.881066 n=15.88 1066 t=2000tsona /2794] Year

3.621 X 1014 If t person takes 10000 m² Land P(t) = 3.621xlolo 10000 > (2**2+24+') x 109 = 3.621x 10 3 (20+ 36.21 2 12.07 29=6.035 lo (6.035) = 2.59335 en a tz 2000+son 2129.67 nol = n=

If we colonize plants Colonized Area = 2.55 x 1015 m i tatal Area = 3.62181014 +2.55*10 = 12.9121X10 IS IS m 2 & for t= 3000 200o+sone 3 000 n=20 * P(3000) = (220+2+2 20+') x109 = 8.251456 x 1015 6.29145661015 > 2.9121x 1015 r. We would not fit. For other parts, *-2000 * t=2000tson 50 PCH) = (2*+2+2744) x109 (2**') x 3 x 103 ( 2 t-1950 50 9 2 :)x3x109 Use this function,