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 + 8579 ), 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 = square )
(type a whole number )

Explanation:

Step1: Determine the difference in years

We know that \( y = 10 \) corresponds to 2010. For the year 2004, we calculate the difference between 2010 and 2004: \( 2010 - 2004 = 6 \).

Step2: Find the value of \( y \) for 2004

Since \( y = 10 \) is 2010, we subtract the difference from 10 to get the \( y \)-value for 2004: \( y = 10 - 6 = 4 \).

Answer:

\( y = 4 \)