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

Chapter 1, Problem 36

(choose chapter or problem)

The graphs show the amount being paid in Social Security benefits and the amount going into the system. All data is expressed in billions of dollars. Amounts from 2012 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 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.

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