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Sharon is assessing the popularity of a fashion magazine for her blog. The number of subscribers to the magazine from the years 2000 to 2004 is given in the table below.

\begin{tabular}{|c|c|}
\hline Number of Years Since 2000 & Number of Subscribers \\
\hline 0 & 25,000 \\
\hline 1 & 20,000 \\
\hline 2 & 16,000 \\
\hline 3 & 12,800 \\
\hline 4 & 10,240 \\
\hline
\end{tabular}

The number of subscribers is [tex]$\square$[/tex].

As the number of years since 2000 increases, the number of subscribers to the magazine will approach [tex]$\square$[/tex].



Answer :

GinnyAnswer
To analyze the given data regarding the number of subscribers to the magazine over the years, let's examine the trend:

[tex]\[ \begin{array}{|c|c|} \hline \text{Number of Years Since 2000} & \text{Number of Subscribers} \\ \hline 0 & 25,000 \\ \hline 1 & 20,000 \\ \hline 2 & 16,000 \\ \hline 3 & 12,800 \\ \hline 4 & 10,240 \\ \hline \end{array} \][/tex]

First, we notice that the number of subscribers is constantly decreasing each year. Therefore, the trend of the number of subscribers is indeed [tex]\(\textit{decreasing}\)[/tex].

Secondly, to determine the long-term behavior of the number of subscribers as the years go by, we observe that there is a clear downward trend. As the number of years increases further beyond 2004, the number of subscribers continues to drop. Since there is no indication of the decline stopping, we can infer that the number of subscribers will get closer and closer to a very small number. Ultimately, it will approach [tex]\(\textit{0}\)[/tex].

So, the correct answers for the blanks are:
- The number of subscribers is [tex]\(\textit{decreasing}\)[/tex].
- As the number of years since 2000 increases, the number of subscribers to the magazine will approach [tex]\(\textit{0}\)[/tex].

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