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Chrome$\newline$File$\newline$Edit$\newline$View$\newline$History$\newline$Bookmarks$\newline$Profiles$\newline$Tab$\newline$Window$\newline$Help$\newline$NHS$\newline$AP Lano$\newline$AP Precalc$\newline$$\Delta$$\newline$O$\newline$$x$$\newline$AP Psych$\newline$French$\newline$Culinary$\newline$apclassroom.collegeboard.org/$117$/assessments/assignments/$57153061$$\newline$student.tesd.org bookmarks$\newline$computer lab$\newline$Globle$\newline$One-Page Profile:$\newline$Unit $1$ Progress Check: MCQ Part A$\newline$($1$)$\newline$$2$$\newline$$3$$\newline$$4$$\newline$$5$$\newline$$6$$\newline$($7$)$\newline$($8$)$\newline$$9$$\newline$($10$)$\newline$($11$)$\newline$($12$.)$\newline$($13$)$\newline$($14$)$\newline$($15$)$\newline$($16$)$\newline$($17$)$\newline$($18$)$\newline$\begin{tabular}{|l|l|l|l|l|l|l|}$\newline$\hline$x$ & $5$ & $6$ & $7$ & $8$ & $9$ & $10$ \\$\newline$\hline$f(x)$ & $-17$ & $-27$ & $-39$ & $-53$ & $-69$ & $-87$ \\$\newline$\hline$\newline$\end{tabular}$\newline$The table gives values for the function $f$ at selected values of $x$. Which of the following conclusions with reason is consistent with the values in the table?$\newline$(A) The graph of $f$ is concave up because the average rate of change over consecutive equal-length intervals is increasing.$\newline$(B) The graph of $f$ is concave up because the average rate of change over consecutive equal-length intervals is decreasing.$\newline$(C) The graph of $f$ is concave down because the average rate of change over consecutive equal-length intervals is increasing.$\newline$(D) The graph of $f$ is concave down because the average rate of change over consecutive equal-length intervals is decreasing