document.write( "Question 1011765: Use the given information to analyze what happened with the fundraiser.
\n" ); document.write( " When the fundraiser began, 600 people wanted to purchase the dance troupe’s T-shirts at $12 per T-shirt, but as the group increased the price of their T-shirts, they noticed a fall in the demand. For every $1 increase in price, the demand fell by 50 shirts. The dance troupe’s initial supply was short by 210 T-shirts which corresponded to an initial price of $9.75. For every $1 increase in price, they ordered 40 more T-shirts. Write a system of linear equations to represent both the demand and supply for the T-shirts. Let q represent the quantity of T-shirts and p represent the price.
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Algebra.Com's Answer #627610 by Fombitz(32388)\"\" \"About 
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Demand:
\n" ); document.write( "When \"p=12\", \"q=600\".
\n" ); document.write( "When \"p=13\", \"q=600-50=550\".
\n" ); document.write( "So then the slope is,
\n" ); document.write( "\"m%5Bd%5D=%28550-600%29%2F%2813-12%29=-50\"
\n" ); document.write( "Using the point-slope form of a line,
\n" ); document.write( "\"q-600=-50%28p-12%29\"
\n" ); document.write( "\"q-600=-50p%2B600\"
\n" ); document.write( "\"q=-50p%2B1200\"
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\n" ); document.write( "Supply:
\n" ); document.write( "When \"p=9.75\", \"q=600-210=390\"
\n" ); document.write( "When \"p=10.75\", \"q=390%2B40=430\"
\n" ); document.write( "So then the slope is,
\n" ); document.write( "\"m%5Bs%5D=%28430-390%29%2F%2810.75-9.75%29=40%2F1=40\"
\n" ); document.write( "And similarly,
\n" ); document.write( "\"q-390=40%28p-9.75%29\"
\n" ); document.write( "\"q-390=40p-390\"
\n" ); document.write( "\"q=40p\"
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