document.write( "Question 177073This question is from textbook
\n" ); document.write( ": Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain? \n" ); document.write( "

Algebra.Com's Answer #132145 by Earlsdon(6294) $\"\"$ $\"About$

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Let $\"C%5BA%5D\"$ be the cost for agency A and $\"C%5BB%5D\"$ be the cost for agency B.
\n" ); document.write( "For agency A:
\n" ); document.write( " $\"C%5BA%5D+=+35%2Ad%2B0.24%2Am\"$ where d = number of days rented and m = number of miles driven.
\n" ); document.write( "For agency B:
\n" ); document.write( " $\"C%5BB%5D+=+41d%2B0.16m\"$
\n" ); document.write( "Adam wants to rent for 3 days so d = 3 and we want to see for how many miles agency B would be cheaper than agency A, or when is...
\n" ); document.write( " $\"C%5BB%5D+%3C+C%5BA%5D\"$ Substituting the above equations with d=3,
\n" ); document.write( " $\"41%283%29%2B0.16m+%3C+35%283%29%2B0.24m\"$ Simplify and solve for m.
\n" ); document.write( " $\"123%2B0.16m+%3C+105%2B0.24m\"$ Subtract 105 from both sides.
\n" ); document.write( " $\"18%2B0.16m+%3C+0.24m\"$ Subtract 0.16m from both sides.
\n" ); document.write( " $\"18+%3C+0.08m\"$ Divide both sides by 0.08
\n" ); document.write( " $\"225+%3C+m\"$ or $\"m+%3E+225\"$
\n" ); document.write( "Adam would have to drive more than 225 miles to make agency B a better (cheaper) bargain.
\n" ); document.write( " \n" ); document.write( "

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