document.write( "Question 326064: How would I write the linear cost function.\r
\n" ); document.write( "\n" ); document.write( "12 units cost $445; 50 units cost $1585.\r
\n" ); document.write( "\n" ); document.write( "I know the answer is c(x)=3x+85\r
\n" ); document.write( "\n" ); document.write( "But I can't figure out how they go the 3 or the 85.
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Algebra.Com's Answer #233388 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
I don't know either since neither point works in the equation,
\n" ); document.write( "\"c%2812%29=3%2812%29%2B85\"=$121
\n" ); document.write( "\"c%2850%29=3%2850%29%2B85\"=$235
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\n" ); document.write( "The linear function would look like, \"y=mx%2Bb\"
\n" ); document.write( "With the first point,
\n" ); document.write( "1.\"12m%2Bb=445\"
\n" ); document.write( "With the second point,
\n" ); document.write( "2.\"50m%2Bb=1585\"
\n" ); document.write( "Subtract eq. 1 from eq. 2 to eliminate b.
\n" ); document.write( "\"50m%2Bb-12m-b=1585-445\"
\n" ); document.write( "\"38m=+1140\"
\n" ); document.write( "\"m=1140%2F38=30\"
\n" ); document.write( "Did you mean 30 instead of 3 in your solution above?
\n" ); document.write( "Then use either equation to solve for b.
\n" ); document.write( "\"12%2830%29%2Bb=445\"
\n" ); document.write( "\"360%2Bb=445\"
\n" ); document.write( "\"b=85\"
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\n" ); document.write( "\"C%28x%29=30x%2B85\"
\n" ); document.write( "Just to verify,
\n" ); document.write( "\"C%2812%29=30%2812%29%2B85\"=$445
\n" ); document.write( "\"C%2850%29=30%2850%29%2B85\"=$1585
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