document.write( "Question 205132: In a lab experiment 4 grams of acid were produced in 10 minutes and 15 grams in 50 minutes. Let y be the grams produced in x minutes. Write an equation for grams produced. \n" ); document.write( "
Algebra.Com's Answer #154846 by Edwin McCravy(20056)\"\" \"About 
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In a lab experiment 4 grams of acid were produced in 10 minutes and 15 grams in 50 minutes. Let y be the grams produced in x minutes. Write an equation for grams produced.
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document.write( "When x = 10 minutes, then y = 4 grams.  \r\n" );
document.write( "When x = 50 minutes, then y = 15 grams.\r\n" );
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document.write( "This information can be interpreted as two points on a line.\r\n" );
document.write( "So the problem is the same as:\r\n" );
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document.write( "Find the equation of the line passing through the points (10,4) and (50,15)\r\n" );
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document.write( "We 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=%2815-4%29%2F%2850-10%29=11%2F40\"\r\n" );
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document.write( "We use the point-slope formula:\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( "Substituting:\r\n" );
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document.write( "\"y-4=%2811%2F40%29%28x-10%29\"\r\n" );
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document.write( "Multiply through by 40\r\n" );
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document.write( "\"40%2Ay-40%2A4=40%2A%2811%2F40%29%28x-10%29\"\r\n" );
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document.write( "\"40%2Ay-40%2A4=cross%2840%29%2A%2811%2Fcross%2840%29%29%28x-10%29\"\r\n" );
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document.write( "\"40y-160=11%28x-10%29\"\r\n" );
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document.write( "\"40y-160=11x-110\"\r\n" );
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document.write( "Add 160 to both sides:\r\n" );
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document.write( "\"40y=11x%2B50\"\r\n" );
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document.write( "Divide through by 40\r\n" );
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document.write( "\"40y%2F40=11x%2F40%2B50%2F40\"\r\n" );
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document.write( "\"y=%2811%2F40%29x%2B5%2F4\"\r\n" );
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document.write( "Or you could make the fractions into decimals:\r\n" );
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document.write( "\"y=0.275x%2B1.25\"\r\n" );
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document.write( "Edwin
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