Year 1960 1970 1980 1990 2000
Rate 39 59 64 89 106
of change
(million
people per
year)
Use this data to sketch a graph like that in Figure 5.2 on page 238.
Draw rectangles on this graph (as in Figure 5.2) to help you underestimate the total change in the world's population between 1960 and 2000. What underestimate did you obtain?
million people
Draw rectangles on this graph (as in Figure 5.2) to help you overestimate the total change in the world's population between 1960 and 2000. What overestimate did you obtain?
million people
If the population in 1960 were 2696 million and if the population in 2000 were 5670 million, what would be the true total change in population?
million people
To sketch the graph, you'll need to plot the years on the x-axis and the rate of change on the y-axis. The values for the years are 1960, 1970, 1980, 1990, and 2000, while the corresponding rates of change are 39, 59, 64, 89, and 106.
Once you've plotted the points, you can connect them to form a line graph. Make sure to label the axes with appropriate units.
To underestimate the total change in the world's population between 1960 and 2000, you need to draw rectangles on the graph below the line connecting the data points. The width of each rectangle corresponds to the difference in years (e.g., the width of the first rectangle would be 1970 - 1960 = 10 years), and the height of each rectangle corresponds to the rate of change.
Add up the areas of all the rectangles to obtain the underestimate of the total change in population.
To overestimate the total change, draw rectangles above the line connecting the data points using the same method as before. Add up the areas of these rectangles to obtain the overestimate of the total change in population.
If the population in 1960 were 2696 million and the population in 2000 were 5670 million, you can find the true total change in population by subtracting the initial population from the final population. The equation would be:
True total change = Final population - Initial population
Plug in the numbers:
True total change = 5670 million - 2696 million
Calculate this value to find the true total change in population.