Type the correct answer in the box. Use numerals instead of words.

The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table below.

\begin{tabular}{|c|c|}
\hline Number of Years Since 2010 & Avg. Number of Subscribers \\
\hline 0 & 320,000 \\
\hline 1 & 384,000 \\
\hline 2 & 460,800 \\
\hline 3 & 552,960 \\
\hline 4 & 663,552 \\
\hline 5 & 769,262 \\
\hline
\end{tabular}

The percent increase in the average number of subscribers each year since 2010 was [tex]$\square$[/tex] \%.



Answer :

To determine the percent increase in the average number of subscribers each year from 2010 to 2015, follow these steps:

1. Calculate the total percent increase in subscribers from year 0 (2010) to year 5 (2015).
- Initial number of subscribers in year 0 (2010) = 320,000
- Number of subscribers in year 5 (2015) = 769,262
- Total percent increase = [tex]\[\left(\frac{769,262 - 320,000}{320,000}\right) \times 100\][/tex]

2. Use the total percent increase to find the average annual percent increase over the 5 years.
- Total percent increase = 140.394375%
- Number of years = 5
- Annual percent increase = [tex]\[\frac{140.394375}{5}\][/tex]

The annual percent increase in the average number of subscribers each year since 2010 was 28.078875%.

So, the percent increase in the average number of subscribers each year since 2010 was [tex]\( \boxed{28.078875} \)[/tex]%.