document.write( "Question 1012910: a one way subway trip costs $0.75. a monthly subway pass costs $27. write and solve an inequality to find the least number of one way rides you must take for the subway pass to be a better deal than paying for each ride. \n" ); document.write( "

Algebra.Com's Answer #629006 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = the number of one-way trips
\n" ); document.write( "taken in a month with a pass
\n" ); document.write( "--------------------------
\n" ); document.write( "When is $\"+27%2Fn+\"$ less than $\"+.75n+\"$ ?
\n" ); document.write( " $\"+27%2Fn+%3C+.75n+\"$
\n" ); document.write( "Multiply both sides by $\"+n+\"$
\n" ); document.write( " $\"+.75n%5E2+%3E+27+\"$
\n" ); document.write( "( note that I just rewrote the inequality
\n" ); document.write( "from right to left )
\n" ); document.write( "Divide both sides by $\"+.75+\"$
\n" ); document.write( " $\"+n%5E2+%3E+36+\"$
\n" ); document.write( " $\"+n+%3E+6+\"$
\n" ); document.write( "At least 7 one-way trips must be taken
\n" ); document.write( "for the pass to be a better deal
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+.75n+=+.75%2A7+\"$
\n" ); document.write( " $\"+.75n+=+5.25+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+27%2Fn+=+27%2F7+\"$
\n" ); document.write( " $\"+27%2Fn+=+3.86+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "And, trying $\"+n=6+\"$ ,
\n" ); document.write( " $\"+.75n+=+.75%2A6+\"$
\n" ); document.write( " $\"+.75n+=+4.5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+27%2Fn+=+27%2F6+\"$
\n" ); document.write( " $\"+27%2Fn+=+4.5+\"$
\n" ); document.write( "Costs are the same
\n" ); document.write( "------------------
\n" ); document.write( "OK \n" ); document.write( "

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