6) Economists have found that the amount of
corruption in a country is correlated to the
productivity of that country. Productivity is
measured by gross domestic product (GDP)
per capita. Corruption is measured on a
scale from 0 to 100 with 0 being highly
corrupt and 100 being least corrupt:
Corruption Score GDP Per Capita ($)
20
24
45
56
62
66
2,620
4,860
10,600
18,400
18,500
28,500
This can be modeled by the equation
y = 473x-7610 where x is the corruption
score and y is GDP per capita in dollars.
GDP Per Capita ($)
25000
20000
.
15000
10000
5000
10 20 30 40 50 60
Corruption Score
a) What does the slope of the line represent?
b) What does the y-intercept of this function represent?
c) According to the model, what would be the GDP per capita of a country with a corruption
score of 38? Round your answer to the nearest dollar.
d) Using this model, a country with a corruption score of 79 would have what GDP per capita?
Round your answer to the nearest dollar.
e) A GDP per capita of $8,900 corresponds to what corruption score, according to the model?
Round your answer to the nearest whole number.