document.write( "Question 1174250: A medical supply company found out that there is a demand on a new brand of alcohol in the market.There was demand for 500mL and 1L with the amount Php 80
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\n" ); document.write( " A.What is the slope?
\n" ); document.write( " B.What is the linear function represent the given problem if x is the number of alcohol and y is the price of alcohol?
\n" ); document.write( " C.How much does 750mL cost? \n" ); document.write( "

Algebra.Com's Answer #850770 by ikleyn(52866) $\"\"$ $\"About$

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\n" ); document.write( "A medical supply company found out that there is a demand on a new brand of alcohol in the market.
\n" ); document.write( "There was demand for 500mL and 1L with the amount Php 80 and Php130, respectively
\n" ); document.write( " (A) What is the slope?
\n" ); document.write( " (B) What is the linear function represent the given problem if x is the number of alcohol
\n" ); document.write( " and y is the price of alcohol?
\n" ); document.write( " (C) How much does 750mL cost?
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\n" ); document.write( "\n" ); document.write( "The solution by @CPhill is NOT CONSISTENT with the problem's requirements.\r
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\n" ); document.write( "\n" ); document.write( "Definition of the notion/conception of \"demand\" in Economics:\r
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document.write( "    In economics, demand is the quantity of a good or service \r\n" );
document.write( "    that consumers are willing and able to buy at a given price.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Simply saying, the amount of goods is in the numerator,
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document.write( "The given points are  (Php80, 500 mL)  and  (Php130, 1000 mL).\r\n" );
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document.write( "(A)  The slope is  m =  =  = 10 mL of the alcohol for 1 Php.    \r\n" );
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document.write( "                   It is the  Answer to question A.\r\n" );
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document.write( "(B)  The function representing the given problem if x is the amount of alcohol \r\n" );
document.write( "     and y is the price of alcohol  \r\n" );
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document.write( "         x = a + my = a + 10y.    (1)\r\n" );
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document.write( "     Here \"a\" is the unknown coefficient.  To find it, substitute the numbers into the first equation\r\n" );
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document.write( "         500 = a + 10*80      (2)\r\n" );
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document.write( "     and find \r\n" );
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document.write( "         a = 500 - 10*80 = 500 - 800 = -300.\r\n" );
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document.write( "    So, the demand equation is \r\n" );
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document.write( "          x = -300 + 10y.     (4) \r\n" );
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document.write( "                   It is the  Answer to question B.\r\n" );
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document.write( "(C)  How much does 750mL cost?\r\n" );
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document.write( "           750 = -300 + 10*y  --->  750 + 300 = 10y  --->  1050 = 10y  --->  y = 1050/10 = 105.\r\n" );
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document.write( "                   ANSWER to question (C):  750 mL of alcohol cost  Php 105,\r\n" );
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document.write( "                                                                 which is precisely half-way between Php 80 and Php 130,\r\n" );
document.write( "                                                                 exactly as it should be, based on common sense.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "This problem is an OBVIOUS TRAP.\r
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\n" ); document.write( "\n" ); document.write( "The trap is made simply by permutation of letters x and y in the problem's formulation.\r
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