document.write( "Question 1018638: Curtis will run 4 miles the first week of training and increase the mileage by one mile each week. With another schedule, Curtis will run 1 mile the first week and increase his total mileage by 2 miles each week. During what week do the two schedules break even? How many miles will Curtis run during this week? \n" ); document.write( "

Algebra.Com's Answer #634709 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+y+\"$ = miles run on week $\"+x+\"$
\n" ); document.write( "Let $\"+m+\"$ = the increase in milage each week
\n" ); document.write( "-------------------
\n" ); document.write( "1st schedual:
\n" ); document.write( " $\"+y+=+m%2Ax+%2B+b+\"$
\n" ); document.write( " $\"+y+=+1%2Ax+%2B+4+\"$
\n" ); document.write( "----------------
\n" ); document.write( "2nd schedual:
\n" ); document.write( " $\"+y+=+2x+%2B+1+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Set the miles run equal to eachother
\n" ); document.write( " $\"+x+%2B+4+=+2x+%2B+1+\"$
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "-----------
\n" ); document.write( "On week 3, they run the same miles
\n" ); document.write( "with either schedual
\n" ); document.write( " $\"+y+=+1%2Ax+%2B+4+\"$
\n" ); document.write( " $\"+y+=+3+%2B+4+\"$
\n" ); document.write( " $\"+y+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+2x+%2B+1+\"$
\n" ); document.write( " $\"+y+=+2%2A3+%2B+1+\"$
\n" ); document.write( " $\"+y+=+7+\"$
\n" ); document.write( "-----------
\n" ); document.write( "On week 3, the miles run are the same
\n" ); document.write( "and Curtis runs 7 miles
\n" ); document.write( " \n" ); document.write( "

\n" );