Question: The function defined by approximates marginal U.S. nonfarm productivity from 20002009. Productivity is measured as total output per hour compared to a measure of 100

The function defined by

approximates marginal U.S. nonfarm productivity from 2000–2009. Productivity is measured as total output per hour compared to a measure of 100 for 2000, and x is the number of years since 2000.

a. Give the function that describes total productivity in year x.

b. Use your function from part a to find productivity at the end of 2008. In 2009, productivity actually measured 122.3. How does your value using the function compare with this?

f'(x) = -0.1624x + 3.4909

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