Answer
year $ 2013$, agrees with the data.
Work Step by Step
Step 1. Given the model equation $y = 35.7x + 486$, for $y\gt800$, we have $ 35.7x + 486\gt800\longrightarrow 35.7x\gt314$, thus $x\gt9$ which corresponds to year $2004+9=2013$
Step 2. The bar graph gives a value of about $810$ billion for year 2013 which is the first year over $800$, thus the above model agrees with the data.
