AIR MATH

Math Question

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function.
Text Messages
\begin{tabular}{|c|c|}
\hline Number of Months since October 2011, \( t \) & Number of Text Messages, \( n(t) \) (billions) \\
\hline 5 & 3 \\
\hline 10 & 10 \\
\hline 15 & 17 \\
\hline 20 & 27 \\
\hline 25 & 44 \\
\hline 30 & 64 \\
\hline 35 & 86 \\
\hline 40 & 112 \\
\hline
\end{tabular}
Which function best models the data?
A) \( n(t)=-0.002 t^{2}+5.02 \)
B) \( n(t)=-0.002 t^{2}+0.55 t+5.02 \)
C) \( n(t)=0.072 t^{2}-0.15 t+2.73 \)
D) \( n(t)=0.072 t^{2}+2.73 \)

Solution

solution

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