Problem

U.S. Median Income In 1980 the median family income was $17,700 and in 2010 it was $49,500...

U.S. Median Income In 1980 the median family income was $17,700 and in 2010 it was $49,500. (Source: Bureau of the Census.)

(a) Find a linear function f that models these data. Let x represent the number of years after 1980.


(b) Interpret the slope and y-intercept for the graph of f.


(c) Estimate the median income in 1992 and compare your answer with the true value of $30,600.


(d) Predict the year when median income might reach $60,000. Did your answer involve interpolation or extrapolation?

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