Chapter 3.3, Problem 96E

SAT Scores by Income The following bar graph shows U.S. critical reading SAT scores as a function of household income:

These data can be modeled by

$S\left(x\right)=550-136e^{-0.0151x}$ where $S\left(x\right)$ is the average math SAT score of students whose household income is x thousand dollars per year. Calculate ${\lim }_{x\to +\infty }S\left(x\right)$, and interpret the answer.