document.write( "Question 1142630: A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how many hours, h, you must use the tennis courts to justify becoming a member. \n" ); document.write( "

Algebra.Com's Answer #763320 by math_helper(2461) $\"\"$ $\"About$

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In a given year, there are two cost options. For nonmembers and members, respectively, the costs are:

\n" ); document.write( " $\"+C%5B1%5D+=+10h+\"$
\n" ); document.write( " $\"+C%5B2%5D+=+4h%2B300+\"$ \r
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\n" ); document.write( "\n" ); document.write( "The breakeven point is where these are equal:
\n" ); document.write( "10h = 4h+300
\n" ); document.write( "6h = 300
\n" ); document.write( "h = 50 hours
\r
\n" ); document.write( "\n" ); document.write( "If a person is going to play more than 50 hours of tennis in a year, it is less expensive if they become a member. (See green line in graph below)
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28400%2C400%2C-100%2C300%2C+-100%2C+900%2C+10x%2C+4x%2B300%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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