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Economists have found that the amount of corruption in a country's government is correlated to the gross domestic product (GDP) per capita of that country. This can be modeled by y=530x−9240 where x is the corruption score and y is GDP per capita in dollars. Corruption scores range from 0 to 100 with 0 being highly corrupt and 100 being least corrupt. what is the slope of the line represent?

A. the GDP per capita of the country with the lowest corruption score
B. the corruption score needed for a GDP per capita of zero
C. the average GDP per capita for every point in the corruption score
D. the increase in GDP per capita for every increase of one in corruption score

User Jackiszhp
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2 Answers

3 votes

Final answer:

The slope of the line represents the increase in GDP per capita for every increase of one in the corruption score.

Step-by-step explanation:

The slope of the line in the given equation, y = 530x - 9240, represents the increase in GDP per capita for every increase of one in the corruption score.

The slope of the given linear equation y = 530x - 9240, where x is the corruption score and y is the GDP per capita in dollars, represents the change in the dependent variable (GDP per capita) for each unit change in the independent variable (corruption score).

Specifically, the slope value of 530 indicates the increase in GDP per capita for every increase of one in the corruption score. This implies that for each point the corruption score increases (becoming less corrupt), the GDP per capita is expected to increase by $530.

Therefore, the correct answer is option D.

User Cporte
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4 votes

Step-by-step explanation:

pandemic times: Potential ... - CAF

have shown evidence that the effect of corruption on real GDP per capita is more pronounced in countries with low levels of8

User Damonkashu
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