An individual's income varies with age. The table shows the median income [tex][tex]$I$[/tex][/tex] of individuals of different age groups within the United States for a certain year. For each age group, let the class midpoint represent the independent variable [tex][tex]$x$[/tex][/tex]. For the class "65 years and older," assume that the class midpoint is 69.5.
Complete parts (a) through (e).
\begin{tabular}{|c|c|c|}
\hline Age & \begin{tabular}{l}
Class \\
Midpoint \\
[tex][tex]$x$[/tex][/tex]
\end{tabular} & \begin{tabular}{l}
Median \\
Income \\
[tex][tex]$I$[/tex][/tex]
\end{tabular} \\
\hline [tex][tex]$15-24$[/tex][/tex] years & 19.5 & [tex][tex]$\$[/tex]12,965[tex]$ \\
\hline 25-34 years & 29.5 & [tex]$[/tex]\[tex]$31,130$[/tex] \\
\hline [tex][tex]$35-44$[/tex][/tex] years & 39.5 & [tex][tex]$\$[/tex]42,637[tex]$ \\
\hline [tex]$[/tex]45-54[tex]$[/tex] years & 49.5 & [tex]$[/tex]\[tex]$44,692$[/tex] \\
\hline [tex][tex]$55-64$[/tex][/tex] years & 59.5 & [tex][tex]$\$[/tex]41,477[tex]$ \\
\hline 65 years and older & 69.5 & [tex]$[/tex]\[tex]$?$[/tex] \\
\hline
\end{tabular}
(Round to the nearest dollar as needed.)
(e) With a graphing utility, graph the quadratic function of best fit on the scatter diagram.
Which of the following shows the quadratic function of best fit?
A.
B.
C.
D.
