document.write( "Question 599525: A playground is being designed where children can interact with their friends in certain combinations. \r
\n" ); document.write( "\n" ); document.write( "If there is 1 child, there can be 0 interactions.
\n" ); document.write( "If there are 2 children, there can be 6 interactions.
\n" ); document.write( "If there are 3 children, there can be 15 interactions.
\n" ); document.write( "If there are 4 children, there can be 27 interactions. \r
\n" ); document.write( "\n" ); document.write( "How many interactions will there be for 7 children? \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #378992 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A playground is being designed where children can interact with their friends in certain combinations.
\n" ); document.write( "If there is 1 child, there can be 0 interactions.
\n" ); document.write( "If there are 2 children, there can be 6 interactions.
\n" ); document.write( "If there are 3 children, there can be 15 interactions.
\n" ); document.write( "If there are 4 children, there can be 27 interactions.
\n" ); document.write( "How many interactions will there be for 7 children?
\n" ); document.write( "---
\n" ); document.write( "I ran a Quadratic Regression program on the data and got
\n" ); document.write( "the following formula:
\n" ); document.write( "y = (3/2)x^2 + (3/2)x -3
\n" ); document.write( "---
\n" ); document.write( "f(7) = 81
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );