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 + 8979, 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 = 9 (type a whole number.) the gdp in 2009 is about $\square$ billion.

Explanation:

Step1: Identify the function and y-value

The GDP function is \( f(y) = 612y + 8979 \), and for 2009, \( y = 9 \).

Step2: Substitute y into the function

Substitute \( y = 9 \) into \( f(y) \): \( f(9)=612\times9 + 8979 \).

Step3: Calculate the multiplication

First, calculate \( 612\times9 = 5508 \).

Step4: Calculate the sum

Then, add 8979: \( 5508+8979 = 14487 \).

Answer:

14487