document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944250>Question 944250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Plan A allows 450 minutes for $39.99 with .25/minute for each minute over 450.<BR>\n" );
document.write( "Plan B allows 900 minutes for $59.99 with .30/minute for each minute over 900.<BR>\n" );
document.write( "Plan C allows 1500 minutes for $99.99 with .35/minute for each minute over 1500.\r<BR>\n" );
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document.write( "An equation or inequality to represent each plan above.\r<BR>\n" );
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document.write( "Determine for how many minutes each plan is the best option for two customers. Customer Smith uses roughly 750 minutes per month. Customer Jones uses roughly 1350 minutes per month.\r<BR>\n" );
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document.write( "I have no idea how to even begin this.  </SPAN>\n" );
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document.write( "plan A is 39.99 per month plus .25 * x over 450\r<BR>\n" );
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document.write( "plan B is 59.99 per month plus .30 * x over 900.\r<BR>\n" );
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document.write( "plan C is 99.99 per month + .35 * x over 1500.\r<BR>\n" );
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document.write( "These look like split functions or what are otherwise called piecewise defined functions.\r<BR>\n" );
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document.write( "for Plan A, the function would be:\r<BR>\n" );
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document.write( "y = 39.99 for 0 <= x <= 450<BR>\n" );
document.write( "y = 39.99 + .25 * (x - 450) for x > 450\r<BR>\n" );
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document.write( "for Plan B, the function would be:\r<BR>\n" );
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document.write( "y = 59.99 for 0 <= x <= 900<BR>\n" );
document.write( "y = 59.99 + .30 * (x - 900) for x > 900\r<BR>\n" );
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document.write( "For plan C, the function would be:\r<BR>\n" );
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document.write( "y = 99.99 for 0 <= x <= 1500<BR>\n" );
document.write( "y = 99.99 + .35 * (x - 1500) for x > 1500\r<BR>\n" );
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document.write( "Smith uses 750 minutes per month.<BR>\n" );
document.write( "Jones uses 1350 minutes per month.\r<BR>\n" );
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document.write( "you would analyze each plan at 750 minutes per month for Smith.<BR>\n" );
document.write( "you would analyze each plan at 1350 minutes per month for Jones.\r<BR>\n" );
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document.write( "For Smith who uses 750 minutes per month:\r<BR>\n" );
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document.write( "Plan A costs 39.99 + .25 * (750 - 450) = 39.99 + .25 * 300 = 114.99<BR>\n" );
document.write( "Plan B costs 59.99<BR>\n" );
document.write( "Plan C costs 99.99\r<BR>\n" );
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document.write( "cheapest plan for Smith is plan B.\r<BR>\n" );
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document.write( "For Jones who uses 1350 minutes per month:\r<BR>\n" );
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document.write( "Plan A costs 39.99 + .25 * (1350 - 450) = 39.99 + .25 * 900 = 264.99<BR>\n" );
document.write( "Plan B costs 59.99 + .30 * (1350 - 900) = 59.99 + .30 * 450 = 217.49<BR>\n" );
document.write( "Plan C costs 99.99\r<BR>\n" );
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document.write( "cheapest plan for Jones is plan C.\r<BR>\n" );
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