document.write( "Question 230450: Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose that 9 defective balls are produced in a lot of 400, and 19 defective balls are produced in a lot of 525.
\n" ); document.write( "Find the number of defective balls produced in a lot of 700 balls.
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Algebra.Com's Answer #170648 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
What the problem is really asking is:
\n" ); document.write( "What is the straight line equation that goes
\n" ); document.write( "through the points (400,9) and (525,19)?
\n" ); document.write( "Then find the point on the line (x,y)
\n" ); document.write( "where \"y\" is unknown, and \"x+=+700\"
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "I'll use the equation
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\n" ); document.write( "where
\n" ); document.write( "\"x%5B1%5D+=+400\"
\n" ); document.write( "\"y%5B1%5D+=+9\"
\n" ); document.write( "and
\n" ); document.write( "\"x%5B2%5D+=+525\"
\n" ); document.write( "\"y%5B2%5D+=+19\"\r
\n" ); document.write( "\n" ); document.write( "\"%28y+-+9%29%2F%28x+-+400%29+=+%2819+-+9%29%2F%28525+-+400%29\"
\n" ); document.write( "\"%28y+-+9%29%2F%28x+-+400%29+=+10%2F125\"
\n" ); document.write( "\"125%2A%28y+-+9%29+=+10%2A%28x+-+400%29\"
\n" ); document.write( "\"125y+-+1125+=+10x+-+4000\"
\n" ); document.write( "\"125y+=+10x+-+2875\"
\n" ); document.write( "\"25y+=+2x+-+575\"
\n" ); document.write( "\"y+=+%282%2F25%29%2Ax+-+23\"
\n" ); document.write( "Now I can find (700,y)
\n" ); document.write( "\"y+=+%282%2F25%29%2A700+-+23\"
\n" ); document.write( "\"y+=+56+-+23\"
\n" ); document.write( "\"y+=+33\"
\n" ); document.write( "There will be 33 defective balls in a lot of 700
\n" ); document.write( "check answer:
\n" ); document.write( "\"y+=+%282%2F25%29%2Ax+-+23\"
\n" ); document.write( "\"9+=+%282%2F25%29%2A400+-+23\"
\n" ); document.write( "\"9+=+32+-+23\"
\n" ); document.write( "\"y+=+9\"
\n" ); document.write( "OK
\n" ); document.write( "\"y+=+%282%2F25%29%2Ax+-+23\"
\n" ); document.write( "\"y+=+%282%2F25%29%2A525+-+23\"
\n" ); document.write( "\"y+=+42+-+23\"
\n" ); document.write( "\"y+=+19\"
\n" ); document.write( "OK
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