document.write( "Question 189887: Car rental agency A will rent a compact car for $40 per day and an additional charge of $0.20 per mile. Car rental agency B will charge only $0.16 per mile but charges $51 per day. If Adam wanted to rent a car for four days, how many miles would Adam have to drive to make car rental agency B a better bargain? Where do I beging with this question? \n" ); document.write( "

Algebra.Com's Answer #142478 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"A\"$ = the cost of renting car from agency A
\n" ); document.write( "Let $\"B\"$ = the cost of renting car from agency B
\n" ); document.write( "Let $\"m\"$ = miles driven
\n" ); document.write( "Let $\"d\"$ = number of days rented
\n" ); document.write( "Given:
\n" ); document.write( "(1) $\"A+=+.2m+%2B+40d\"$
\n" ); document.write( "(2) $\"B+=+.16m+%2B+51d\"$
\n" ); document.write( " $\"d+=+4\"$ days
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"A+=+.2m+%2B+40%2A4\"$
\n" ); document.write( "(1) $\"A+=+.2m+%2B+160\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"B+=+.16m+%2B+51%2A4\"$
\n" ); document.write( "(2) $\"B+=+.16m+%2B+204\"$
\n" ); document.write( "How many miles would Adam have to drive to make
\n" ); document.write( "car rental agency B a better bargain?
\n" ); document.write( "At what milage are the costs the same? (A = B)
\n" ); document.write( " $\".2m+%2B+160+=+.16m+%2B+204\"$
\n" ); document.write( " $\".04m+=+44\"$
\n" ); document.write( " $\"m+=+1100\"$ mi
\n" ); document.write( "If he drives more than 1100 miles, B is a better bargain
\n" ); document.write( "check:
\n" ); document.write( "Find A and B for $\"m+=+1099\"$ mi
\n" ); document.write( "Find A and B for $\"m+=+1101\"$ mi
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

\n" );