document.write( "Question 224579: a business purchaseda new van for $27,500. after 5 years it's depreciated vaule is $12,000. assuming a straight line depreciation write an equation of the line giving the value V of the van in terms of the age X of the van. \n" ); document.write( "
Algebra.Com's Answer #167758 by Edwin McCravy(20086)\"\" \"About 
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a business purchaseda new van for $27,500. after 5 years it's depreciated vaule is $12,000. assuming a straight line depreciation write an equation of the line giving the value V of the van in terms of the age X of the van.\r
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document.write( "When X = 0 years, V = $27500\r\n" );
document.write( "When X = 5 years, V = $12000\r\n" );
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document.write( "So we can use the usual letters for finding equations of lines,\r\n" );
document.write( "let's use x for X and y for V:\r\n" );
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document.write( "When x = 0 years, y = $27500\r\n" );
document.write( "When x = 5 years, y = $12000\r\n" );
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document.write( "So the problem becomes:\r\n" );
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document.write( "Find the equation of the line through the points \r\n" );
document.write( "(0,27500) and (5,12000)\r\n" );
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document.write( "Use the slope formula:\r\n" );
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document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r\n" );
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document.write( "\"m=%2812000-27500%29%2F%285-0%29=%28-15500%29%2F5=-3100\"\r\n" );
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document.write( "Now use the point-slope form:\r\n" );
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document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-27500=-3100%28x-0%29\"\r\n" );
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document.write( "\"y-27500=-3100x\"\r\n" );
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document.write( "\"y=-3100x%2B27500\"\r\n" );
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document.write( "Now change x back to X and y back to V:\r\n" );
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document.write( "\"V=-3100X%2B27500\"\r\n" );
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document.write( "Edwin

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