The graphs show the amount being paid in Social Security benefits and the amount going int...

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 2012 through 2024 are projections.

Source: 2004 Social Security Trustees Report Exercises are based on the data shown by the graphs.

The data for the system’s outflow can be modeled by the formula

B = 0.07x2 + 47.4x + 500,

where 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.