document.write( "Question 1104877: Can you please help me with this math problem PLEASE! \r
\n" ); document.write( "\n" ); document.write( "Navy is trying to decide what would be the best cell phone plan for her. She has narrowed her choices down to two. Spirit and Horizon. Spirit has a fixed fee of $20 and an additional charge of 5 cents per minute. Horizon has no fixed fee and charges 15 cents per minute. Form a systems of equation for this problem.
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Algebra.Com's Answer #719593 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
let x equal the number of minutes.\r
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\n" ); document.write( "\n" ); document.write( "spirit charges 10 + .05 * x.\r
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\n" ); document.write( "\n" ); document.write( "horizon charges .15 * x\r
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\n" ); document.write( "\n" ); document.write( "she wants to compare what spirit charges versus what horizon charges and where the break even point would be.\r
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\n" ); document.write( "\n" ); document.write( "at least i think that's what she wants to do.\r
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\n" ); document.write( "\n" ); document.write( "both plans will break even when the cost for each plan is the same.\r
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\n" ); document.write( "\n" ); document.write( "the cost for spirit is 20 + .05 * x\r
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\n" ); document.write( "\n" ); document.write( "the cost for horizon is .15 * x.\r
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\n" ); document.write( "\n" ); document.write( "when the cost is even, then 20 + .05 * x = .15 * x\r
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\n" ); document.write( "\n" ); document.write( "subtract .05 * x from both sides of this equation to get 20 = .10 * x\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of this equation by .10 to get 20 /.10 = x\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get x = 200.\r
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\n" ); document.write( "\n" ); document.write( "the plans will break even when the number of minutes used per month = 200.\r
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\n" ); document.write( "\n" ); document.write( "if she uses less than 200 minutes, the horizon plan is cheaper.\r
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\n" ); document.write( "\n" ); document.write( "if she uses more than 200 minutes, the spirit plan is cheaper.\r
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\n" ); document.write( "\n" ); document.write( "your system of equations is:\r
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\n" ); document.write( "\n" ); document.write( "cost for spirit plan = 20 + .05 * x.
\n" ); document.write( "cost for horizon plan = .15 * x\r
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\n" ); document.write( "\n" ); document.write( "we'll look at a couple of sample figures.\r
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\n" ); document.write( "\n" ); document.write( "100 is less than 200.
\n" ); document.write( "cost for spirit is 20 + .05 * 100 = 25.
\n" ); document.write( "cost for horizon is .15 * 100 = 15.
\n" ); document.write( "horizon is cheaper.\r
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\n" ); document.write( "\n" ); document.write( "200 is equal to 200.
\n" ); document.write( "cost for spirit is 20 + .05 * 200 = 30
\n" ); document.write( "cost for horizon is .15 * 200 = 30
\n" ); document.write( "they break even.\r
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\n" ); document.write( "\n" ); document.write( "300 is greater than 200.
\n" ); document.write( "cost for spirit is 20 + .05 * 300 = 35
\n" ); document.write( "cost for horizon is .15 *300 = 45
\n" ); document.write( "spirit is cheaper.\r
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