Given that the
equation y = 0.08x + 0.83 estimates the number of homeschooled children
in the U.S., in millions, where x is the number of years after 1999.
To find the number of years that it will take for the number of homeschooled children to
exceed 2.0 million, we solve the inequality:
[tex]0.08x + 0.83 \ \textgreater \ 2 \\ \\ 0.08x\ \textgreater \ 1.17 \\ \\ x\ \textgreater \ 14.625[/tex]
Therefore, it will take approximately 15 years for the number of homeschooled children to
exceed 2.0 million.