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 ( n(y) = 552y + 6875 ), where ( y = 10 ) corresponds to the year 2010. determine 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 $\square$ billion

Explanation:

Step1: Identify the function and y-value

We know the GDP function is \( N(y) = 852y + 6875 \), and for the year 2004, \( y = 4 \) (as given in the problem).

Step2: Substitute y into the function

Substitute \( y = 4 \) into \( N(y) \):
\[
N(4)=852\times4 + 6875
\]
First, calculate \( 852\times4 \):
\[
852\times4 = 3408
\]
Then, add 6875 to the result:
\[
3408+6875 = 10283
\]

Answer:

10283