Question

the gross domestic product (gdp) of a certain country, which measures the overall size of the economy in billions of dollars, can be approximated by the function f(y) = 612y + 8879, where y = 10 corresponds to the year 2010. estimate the gdp (to the nearest billion dollars) in the given years. (a) 2004 (b) 2009 (c) 2012 (a) what value of y corresponds to the year 2004? y = 4 (type a whole number) the gdp in 2004 is about $ 11327 billion. (b) what value of y corresponds to the year 2009? y = \square (type a whole number.)

Explanation:

Step1: Determine the relationship between y and the year

We know that \( y = 10 \) corresponds to the year 2010. So we can find the value of \( y \) for a given year by calculating the difference from 2010 and adjusting \( y \) accordingly. For the year 2009, we calculate the difference between 2009 and 2010, which is \( 2009 - 2010=- 1\), then we add this to the \( y \) value of 2010 (\( y = 10\)): \( y=10+(2009 - 2010)=10 - 1 = 9\).

Answer:

\( y = 9\)