document.write( "Question 143350: I believe I have the correct answer, but want to be sure.\r
\n" ); document.write( "\n" ); document.write( "Nan can rent a van for either $50 per day with unlimited mileage or $35 per day with 75 free miles and an extra charge of .20 for each mile over 75. For what numbers of miles traveled would the unlimited mileage plan save Nan money? Answer: at least 150 miles\r
\n" ); document.write( "\n" ); document.write( "Solution:\r
\n" ); document.write( "\n" ); document.write( "50 is greater than or equal to 35+.2(x-75)
\n" ); document.write( "To eliminate the decimal, I multiply 50, 35 and .2 by 100:
\n" ); document.write( "5000 is greater than or equal to 3500+20(x-75)
\n" ); document.write( "Solving for x
\n" ); document.write( "x is greater or equal to 150\r
\n" ); document.write( "\n" ); document.write( "Did I go about this correctly?
\n" ); document.write( "

Algebra.Com's Answer #104325 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Nan can rent a van for either $50 per day with unlimited mileage or $35 per day with 75 free miles and an extra charge of .20 for each mile over 75. For what numbers of miles traveled would the unlimited mileage plan save Nan money?
\n" ); document.write( "-------------
\n" ); document.write( "Plan A:
\n" ); document.write( "A(x) = 50
\n" ); document.write( "--------------
\n" ); document.write( "Plan B:
\n" ); document.write( "B(x) = 35+(x-75)0.20
\n" ); document.write( "------------------
\n" ); document.write( "INEQUALITY
\n" ); document.write( "50 < 35 + (x-75)0.20
\n" ); document.write( "15 < (x-75)0.20
\n" ); document.write( "x-75 > 75
\n" ); document.write( "x > 150 miles
\n" ); document.write( "===============
\n" ); document.write( "You are correct.
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );