document.write( "Question 260322: for a new diet pill, 50 pills will be supplied at a price of $30, while 80 pills will be supplied at a price of $50. Write a linear supply function for this product \n" ); document.write( "

Algebra.Com's Answer #191748 by drk(1908) $\"\"$ $\"About$

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We really have two coordinates here as:
\n" ); document.write( "(50,30) and (80,50)
\n" ); document.write( "we can find slope as
\n" ); document.write( " $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "putting our numbers in, we get
\n" ); document.write( " $\"m+=+%2850-30%29%2F%2880-50%29\"$
\n" ); document.write( " $\"m+=+20%2F30\"$
\n" ); document.write( "or
\n" ); document.write( " $\"m+=+2%2F3\"$
\n" ); document.write( "using a coordinate and our slope we can find the b value as
\n" ); document.write( " $\"y+=+mx+%2B+b\"$
\n" ); document.write( " $\"30+=+%282%2F3%29%2850%29+%2B+b\"$
\n" ); document.write( " $\"-10%2F3+=+b\"$
\n" ); document.write( "so, our final equation becomes
\n" ); document.write( " $\"y+=+%282%2F3%29X+-+10%2F3\"$ \n" ); document.write( "

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