Algebra.Com's Answer #654679 by Edwin McCravy(20055)![\"\"](\"/images/stars/stars-13.gif\")  
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A machine is now worth $120,000 and will depreciate
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document.write( "linearly over an 8-year period at which time it will
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document.write( "be worth $25,000 as scrap. What will the machine be
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document.write( "worth in 6 years?
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document.write( "Here is a graph to explain what you're being asked.\r\n" );
document.write( "The word \"linearly\" tells us that a line is involved.\r\n" );
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document.write( "The point (0,$120000) represents the fact that when no (zero)\r\n" );
document.write( "years have passed, that is, when the machine is brand new,\r\n" );
document.write( "the machine is worth $120000.\r\n" );
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document.write( "The point (8,$25000) represents the fact that when 8 years have\r\n" );
document.write( "passed, the machine is to be scrapped, the machine is worth \r\n" );
document.write( "$25000 as scrap.\r\n" );
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document.write( "You are being asked to find the value $????? of the machine after\r\n" );
document.write( "6 years have passed.\r\n" );
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document.write( "So x = the number of years\r\n" );
document.write( "And y = how much the machine is worth in x years.\r\n" );
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document.write( "That means we need to find the equation of the line\r\n" );
document.write( "above that goes through the points (x1,y1) = (0,120000) and\r\n" );
document.write( "the point (x2,y2) = (8,25000)\r\n" );
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document.write( "We use the slope formula to find the slope m:\r\n" );
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document.write( "Now we have the slope m = -11875.\r\n" );
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document.write( "We know that the equation of a line is\r\n" );
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document.write( "y = mx + b\r\n" );
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document.write( "where m = -11875 and since the y-intercept is (0,b) = (0,120000),\r\n" );
document.write( "we can substitute m = -11875 and b = 120000 in y = mx + b\r\n" );
document.write( "and we will have the equation of the above line.\r\n" );
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document.write( "So all you'll have to do to find what the machine is worth\r\n" );
document.write( "after 6 years is to substitute x = 6 in the equation you'll\r\n" );
document.write( "find for the above line.\r\n" );
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document.write( "Edwin \n" );
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