document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151631>Question 1151631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Parsons Bank offers two​ checking-account plans. The No Frills plan charges 25 cents per check whereas the Simple Checking plan costs ​$6 per month plus 5 cents per check. For what number of checks per month will the Simple Checking plan cost​ less? </SPAN>\n" );
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document.write( "Option A: 25 cents per check, which is the same as $0.25 per check<BR>\n" );
document.write( "y = 0.25x is the equation for option A<BR>\n" );
document.write( "x = number of checks<BR>\n" );
document.write( "y = total cost in dollars\r<BR>\n" );
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document.write( "Option B: $6 per month plus 5 cents per check<BR>\n" );
document.write( "x = number of checks<BR>\n" );
document.write( "0.05*x = cost of writing x number of checks at $0.05 (aka 5 cents) per check<BR>\n" );
document.write( "0.05x+6 = total cost after the $6 per month fee is added on<BR>\n" );
document.write( "The equation for option B is y = 0.05x+6\r<BR>\n" );
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document.write( "Set up the inequality shown below to solve for x. We want to find when option B will cost lest.\r<BR>\n" );
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document.write( "(Option A's cost) > (Option B's cost)<BR>\n" );
document.write( "0.25x >  0.05x+6<BR>\n" );
document.write( "0.25x-0.05x >  6 ....................... subtract 0.05x from both sides<BR>\n" );
document.write( "0.20x >  6<BR>\n" );
document.write( "x >  6/0.20 ............................ divide both sides by 0.20<BR>\n" );
document.write( "x >  30 \r<BR>\n" );
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document.write( "If x > 30, then the expression 0.05x+6 is smaller than 0.25x<BR>\n" );
document.write( "So if x > 30, then the Simple Checking plan is cheaper.\r<BR>\n" );
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document.write( "For instance, if x = 40, then<BR>\n" );
document.write( "0.25x = 0.25*40 = 10 is the cost of option A<BR>\n" );
document.write( "0.05x+6 = 0.05*40+6 = 2+6 = 8 is the cost of option B<BR>\n" );
document.write( "we see that option B is cheaper if x = 40 checks are written.\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "If you write <font color=red size=4>more than 30 checks</font>, then the Simple Checking Plan is the cheaper option.<BR>\n" );
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