Question

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. (Source: Department of Education’s National Center for Education Statistics). For what years will the number of homeschooled children exceed 2.0 million?

Answer 1

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:

`0.08x + 0.83 \ \textgreater \ 2 \\ \\ 0.08x\ \textgreater \ 1.17 \\ \\ x\ \textgreater \ 14.625`

Therefore, it will take approximately 15 years for the number of homeschooled children to exceed 2.0 million.