Go toWorldometers website and scroll down the webpage until you see a graph titled World Population: Past, Present, and Future. You will use worldometers for the remainder of the lab, so I recommend you leave the window open. https://www.worldometers.info/world-population/

14. Use the graph to fill in the table. Round to the nearest million. (You will need to hover your mouse over the graph until you see the date you want in the upper right corner. The population is just to the left of the date. You will also need to use the zoom feature at the bottom of the graph. Move the vertical slider bars on either side of the region you want. This may help you to find difficult values.) Use the graph below only as a guide to help make sure you are completing the table correctly.

	World Population
Date,years	Population,in millions
1000
1500
	770
	1000
1950
2000
Don't forget to convert into millions

Below is a graph created with Excel by inputting the data, creating a scatter plot, adding a regression line, and formatting the trendline.

15. What type of equation best approximates the world population over time?

16. What is the equation of the trendline?

17. Thinking back to Part 1 (the previous part), how did you find the rate of change for the approximately linear data? What points did you use? What formula did you use? Describe the calculation.

18. Will this method work for finding the rate of change for the world population data? Explain.

19. Choose any two consecutive points on the graph or the table and find the rate of change. Be careful with your units!

20. Choose any twodifferent consecutive points on the graph or the table and find the rate of change. Be careful with your units!

21. Are the slopes the same or different? Why do you think this is so?

With exponential functions, we will not find a constant rate of change. For this example it is because the population is growing at different rates throughout time. We can approximate the rate of change for a certain period of time by finding the slope of the line passing through two points that are relatively close. The closer the points, the better the approximation of the rate of change.

Use the interactive graph fromWorldometers website to find the following data. Keep your populations in millions. Round final answers to two decimal places as needed.

22. Find the rate of change from 1200 to 1400.

23. Find the rate of change from 1900 to 1950.

24. Find the rate of change from 1975 to 1990.

25. Find the rate of change from 2001 to 2006.

26. Interpret the rate of change from the four questions directly above in context of the world population. That is, describe what they imply about population growth.

Using the interactive graph from Worldometers, set the sliders to1950and2100.

27. What is happening to the graph as it approaches the year 2100?

28. Why do you think this is happening in terms of "Mother Earth" (by Mother Earth, I mean in terms of the environment and any other global factors)? Give at least two different reasons. Here are some helpful resources you can consult:

• Pew Research Article
• Our World in Data Article
• Britannica Article