In sporting tournaments, teams are eliminated after they lose. The number of teams in the tournament then decreases by half with each round. If there are 16 teams left after 3 rounds, how many teams started out in the tournament?
[list=1] [*]Read the problem statement carefully and then reread it, this time identifying the known quantities. [*]Read the statement again, identifying the unknown quantity or variable. [*]Create expressions and equations from the known quantities and variable(s). [*]Substitute the values into the general form of an exponential equation, [math]y = a • b^x[/math]. [*]Follow the order of operations to solve the resulting equation. [*]Interpret the solution in terms of the context of the problem. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.