document.write( "Question 85776This question is from textbook intermediate algebra
\n" ); document.write( ": Write the system of equations and solve for x and y using any method:\r
\n" ); document.write( "\n" ); document.write( "The cost of sending a telegram is based on a flat rate for the first 10 words and a fixed charge for each additional word. If a telegram of 15 words costs $11.65 and a telegram of 19 words costs $14.57, what is the flat rate, and what is the fixed charge for each additional word? \n" ); document.write( "

Algebra.Com's Answer #61969 by Edwin McCravy(20055) $\"\"$ $\"About$

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Write the system of equations and solve for x and y using any method:
\n" ); document.write( "The cost of sending a telegram is based on a flat rate for the first 10 words and a fixed charge for each additional word. If a telegram of 15 words costs $11.65 and a telegram of 19 words costs $14.57, what is the flat rate, and what is the fixed charge for each additional word?
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document.write( "Let x = the flat rate for the first 10 words.\r\n" );
document.write( "Let y = the fixed charge per additional word.\r\n" );
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document.write( "Therefore to send an N word telegram costs, \r\n" );
document.write( "where N > 10, there are N-10 additional words.  \r\n" );
document.write( "The cost would be:\r\n" );
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document.write( "Cost = (flat rate for first 10 words) + (No of additional words)×(fixed charge for each additional word)\r\n" );
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document.write( "or\r\n" );
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document.write( "Cost = x + (N-10)y\r\n" );
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document.write( ">>...a telegram of 15 words costs $11.65...<<\r\n" );
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document.write( "Plugging that in:\r\n" );
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document.write( "11.65 = x + (15-10)y or\r\n" );
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document.write( "11.65 = x + 5y \r\n" );
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document.write( "or\r\n" );
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document.write( ">>...a telegram of 19 words costs $14.57...<<\r\n" );
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document.write( "Plugging that in:\r\n" );
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document.write( "14.57 = x + (19-10)y or\r\n" );
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document.write( "14.57 = x + 9y\r\n" );
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document.write( "So we have the system:\r\n" );
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document.write( "11.65 = x + 5y\r\n" );
document.write( "14.57 = x + 9y\r\n" );
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document.write( "or\r\n" );
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document.write( "x + 5y = 11.65 \r\n" );
document.write( "x + 9y = 14.57\r\n" );
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document.write( "Can you solve that? \r\n" );
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document.write( "Answer x = 8 and y = .73\r\n" );
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document.write( "or \r\n" );
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document.write( "Flat rate for the first 10 words = $8\r\n" );
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document.write( "Fixed charge for each additional word = $0.73\r\n" );
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document.write( "Edwin

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