-
Per-capita GDP is a measure of what a "typical income" is for people in each country (US Dollars).
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Median lifespan is a measure of what a "typical lifespan" is for people in each country
A point at (75, 62) would represent a country where the average GDP is $75,000/year and the median lifespan is 62 years old.
The table below shows the per-capita GDP and median life expectancy for three different countries.
| Country | Per-Capita GDP ($) | Median Lifespan (years) |
|---|---|---|
Mozambique |
$1,348 |
54.1 |
Pakistan |
$5,085 |
68.4 |
Poland |
$29,176 |
77.9 |
Luxembourg |
$103,511 |
82.4 |
1 Plot these four countries as points on the graph below.
2 Use your best guess to draw a curve that fits all four points.
3 Plot the points on your curve corresponding to the four per-capita GDPs below. What does your curve predict the median lifespan to be, at each of these points?
| Country | Per-Capita GDP ($) | Median Lifespan (years) |
|---|---|---|
Country A |
$5,000 |
|
Country B |
$25,000 |
|
Country C |
$125,000 |
|
Country D |
$150,000 |
4 What do you Notice about the shape of the curve? Does it look like one of the functions we’ve seen before?
These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). 
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