Problem

(Modeling) Solve each problem. Social Security The...

(Modeling) Solve each problem.

Social Security The total amount paid by the U.S. government to individuals for Social Security retirement and disability insurance benefits during the period 2004–2013 can be approximated by the linear model

y = 35.7x + 486,

where x = 0 corresponds to 2004, x = 1 corresponds to 2005, and so on. The variable y is in billions of dollars. Based on this model, during what year did the amount paid by the government first exceed $800 billion? Round the answer to the nearest year. Compare the answer to the bar graph.