Table Given Below Shows the Consumer Price Index (CPI) for Selected

Multiple Choice

Table given below shows the Consumer Price Index (CPI) for selected years. The mathematical model for the data given below is $y = - 0.031 t ^ { 2 } + 5.887 t + 24.429$ , where $y$ represents the CPI and $t$ represents the year, with $t = 5$ corresponding to 1975 . Use the model to predict the CPI for the year 2010. Round your answer to the nearest integer.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \text { ear } & 975 & 980 & 985 & 990 & 995 & 000 & 005 \\\hline \text { PI } & 2.8 & 0 & 06.6 & 30.7 & 52.4 & 71.2 & 94.3 \\\hline\end{array}$

A) $y = 211$
B) $y = 209$
C) $y = 192$
D) $y = 173$
E) $y = 210$