M homework
World Populations
Go to the following link to answer the questions below : http://www.google.com/publicdata/explore?ds=d5bncppjof8f9_#!ctype=l&strail=false&bcs=d&nselm=h&met_y=sp_pop_totl&scale_y=lin&ind_y=false&rdim=region&idim=country:CHN:USA:IND&ifdim=region&hl=en_US&dl=en_US&ind=false
1. Using your mouse to find the points on each country’s population line, complete the chart below: (3 points)
Country
1975
2000
China
India
United States
2. Use the following equation:
to predict the future populations of the three countries. To do this, consider 1975 as the start point (i.e. ) and the corresponding population value for . To find , substitute the second population point (from 2000) into the and values, respectively. Identify the equations to model each of the country’s population growth model. Show all work. (12 points)
a) China:
b) India:
c) United States:
3. Using the models found in part 2, predict the populations for each country in 2008. Show all work. (3 points)
a) China:
b) India:
c) United States:
4. Now, compare the projected values from your equation with the actual values from the website (12 points):
a) Complete the table (3 points)
Country
Projected 2008 population
Actual 2008 population
China
India
United States
b) Were the values for each country accurate? Why or why not? Provide at least 3 sentences using a mathematical foundation to support your answer (9 points)