The table gives the number of bachelor’s degrees in psychology (in thousands) earned at U.S. colleges and universities for selected years from 1980 through 2012. Suppose x represents the number of years since 1950. Thus, 1980 is represented by 30, 1990 is represented by 40, and so on.

Year ..................................Degrees Earned (in thousands)

1980 .........................................................42.1

1990 .........................................................54.0

2000 .........................................................74.2

2010 .........................................................97.2

2011 .......................................................100.9

2012 .......................................................109.0

The following function is a logarithmic model for the data.

ƒ(x) = -273 + 90.6 ln x

Use this function to estimate the number of bachelor’s degrees in psychology earned in the year 2016 to the nearest tenth thousand. What assumption must we make to estimate the number of degrees in years beyond 2012?

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