(Modeling) Solve the problem.Government Benefits  The total amount paid by the U.S. govern...

(Modeling) Solve the problem.

Government Benefits  The total amount paid by the U.S. government to individuals for retirement and disability insurance benefits during the period 1994–2004 can be approximated by the linear model

y = 18.1x + 326.3,

where x = 0 corresponds to 1994, x = 1 corresponds to 1995, 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 $500 billion? Round your answer to the nearest year. Compare your answer to the bar graph.

Amount Paid by the U.S. Government tor Retirement and Disability Insurance Benefits

Source: Office of the Chief Actuary, Social Security Administration.