document.write( "Question 127224: Natural Gas. The cost of 1000 cubic feet of natural gas is $39 and the cost of 3000 cubic feet is $99 There is a linear equation that expressed the cost C in terms of the numberof cubic feet n. Find the equation and find the cost of 2400 cubic feet of natural gas. \n" ); document.write( "
Algebra.Com's Answer #93204 by josmiceli(19441)\"\" \"About 
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If cubic feet of gas is plotted on the horizontal axis
\n" ); document.write( "and the corresponding cost on the vertical axis,
\n" ); document.write( "we are given 2 points, (1000, 39) and (3000,99)
\n" ); document.write( "There is a formula you can use
\n" ); document.write( "
\n" ); document.write( "the given points are (x[2],y[2]) and (x[1],y[1])
\n" ); document.write( "\"%2899+-+39%29+%2F+%283000+-+1000%29+=+%28y+-+39%29+%2F+%28x+-+1000%29\"
\n" ); document.write( "\"60+%2F+2000+=+%28y+-+39%29+%2F+%28x+-+1000%29\"
\n" ); document.write( "\"3%2F100+=+%28y+-+39%29+%2F+%28x+-+1000%29\"
\n" ); document.write( "multiply both sides by \"100%2A%28x+-+1000%29\"
\n" ); document.write( "\"3%2A%28x+-+1000%29+=+%28y+-+39%29%2A100\"
\n" ); document.write( "\"3x+-+3000+=+100y+-+3900\"
\n" ); document.write( "\"100y+=+3x+%2B+900\"
\n" ); document.write( "\"y+=+%283%2F100%29x+%2B+9\" or in this case,
\n" ); document.write( "\"C+=+%283%2F100%29n+%2B+9\" answer
\n" ); document.write( "check:
\n" ); document.write( "See if this line goes through (1000, 39) and (3000,99)
\n" ); document.write( "\"C+=+%283%2F100%29n+%2B+9\"
\n" ); document.write( "\"39+=+%283%2F100%29%2A1000+%2B+9\"
\n" ); document.write( "\"39+=+30+%2B+9\"
\n" ); document.write( "\"39+=+39\"
\n" ); document.write( "OK
\n" ); document.write( "\"C+=+%283%2F100%29n+%2B+9\"
\n" ); document.write( "\"99+=+%283%2F100%293000+%2B+9\"
\n" ); document.write( "\"99+=+90+%2B+9\"
\n" ); document.write( "\"99+=+99\"
\n" ); document.write( "OK
\n" ); document.write( "Find the cost of 2400 cubic feet of natural gas.
\n" ); document.write( "\"C+=+%283%2F100%29n+%2B+9\"
\n" ); document.write( "\"C+=+%283%2F100%292400+%2B+9\"
\n" ); document.write( "\"C+=+72+%2B+9\"
\n" ); document.write( "\"C+=+81\" dollars answer
\n" ); document.write( "
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