document.write( "Question 153449This question is from textbook Algebra For College Students
\n" ); document.write( ": Amber is signing up for cell phone service. She is trying to decide between Plan A, which costs $54.99 a month with a free phone included, and Plan B, which costs $49.99 a month, but would require her to buy a phone for $129. Under either plan, Amber does not expect to go over the included number of monthly minutes. After how many months would Plan B be a better deal? \n" ); document.write( "
Algebra.Com's Answer #112944 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
\"planA=%2854.99%2Fmonth%29%2BfreePHONE\"
\n" ); document.write( "\"planB=%2849.99%2Fmonth%29%2B129%28PHONE%29\"
\n" ); document.write( "Let's equate the 2 plans times no. of months \"x\" for each plan:
\n" ); document.write( "\"planA%28x%29=PLanB%28x%29\"
\n" ); document.write( "\"%2854.99%2Fmonth%29%28x%29=%2849.99%2Fmonth%29%28x%29%2B129\"
\n" ); document.write( "\"%2854.99%2Fmonth%29%28x%29-%2849.99%2Fmonth%29%28x%29=129\"
\n" ); document.write( "\"x%28%2854.99-49.99%29%2Fmonth%29=129\" ------------> \"x%2A%28%285%29%2Fmonth%29=129\"
\n" ); document.write( "\"x%2Across%285%29%2Fmonth%28cross%285%29%29=cross%28129%2925.8%2Fcross%285%29\" , cross multiply:
\n" ); document.write( "\"x=25.8months\"
\n" ); document.write( "Let's try usage of \"25months\" for each plan:
\n" ); document.write( "planA:
\n" ); document.write( "\"%2854.99%2Fcross%28month%29%29%2825cross%28months%29%29=1374.75\"
\n" ); document.write( "planB:
\n" ); document.write( "\"%2849.99%2Fcross%28month%29%29%2825cross%28months%29%29%2B129=1378.75\"
\n" ); document.write( "IN 25 MONTHS, PLAN A STILL A BETTER CHOICE
\n" ); document.write( "Let's try 26 months:
\n" ); document.write( "plan A:
\n" ); document.write( "\"%2854.99%2Fcross%28month%29%29%2826cross%28months%29%29=1429.74\"
\n" ); document.write( "plan B:
\n" ); document.write( "\"%2849.99%2Fcross%28month%29%29%2826cross%28months%29%29%2B129=1428.74\"
\n" ); document.write( "THERE YOU GO, YOU START SAVINGS IN CHOOSING PLAN B WHEN YOU REACH 26 MONTHS OF USAGE. TRY 36 MONTHS? 48 MONTHS?
\n" ); document.write( " Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "
\n" );