The graphs show the amount being paid in Social Security benefits and the amount going into the system. All data are expressed in billions of dollars. Amounts from 2016 through 2024 are projections.

Exercises 35–37 are based on the data shown by the graphs. The data for the system’s outflow can be modeled by the formulawhere B represents the amount paid in benefits, in billions of dollars, x years after 2004. According to this model, when will the amount paid in benefits be $1177 billion? Round to the nearest year.

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Income/Outflow (billions of dollars) $2000 $1600 $1200 $800 $400 Social Insecurity: Income and Outflow of the Social Security System 2004 Income Outflow 2008 2012 2016 2020 2024 Year