document.write( "Question 1018257: A local theme part found that if the price of admission was $11, the attendance was about 100 customers per day. When the price of admission was dropped to $6, attendance increase to about 1700 per day. Write a linear equation for the attendance in terms of the price. (A=mp+b) \n" ); document.write( "
Algebra.Com's Answer #634414 by josmiceli(19441)\"\" \"About 
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Let \"+A+\" = attendance /day
\n" ); document.write( "Let \"+p+\" = price of admission
\n" ); document.write( "----------------------------
\n" ); document.write( "When price of admission stays at $11:
\n" ); document.write( "\"+A+=+m%2Ap+%2B+b+\"
\n" ); document.write( "(1) \"+100+=+m%2A11+%2B+b+\"
\n" ); document.write( "When price drops to $6:
\n" ); document.write( "(2) \"+1700+=+m%2A6+%2B+b+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+1700+=+m%2A6+%2B+b+\"
\n" ); document.write( "(1) \"+-100+=+-m%2A11+-+b+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+1600+=+-5m+\"
\n" ); document.write( "\"+m+=+-320+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+100+=+m%2A11+%2B+b+\"
\n" ); document.write( "(1) \"+100+=+%28-320%29%2A11+%2B+b+\"
\n" ); document.write( "(1) \"+100+=+-3520+%2B+b+\"
\n" ); document.write( "(1) \"+b+=+3620+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "The equation is:
\n" ); document.write( "\"+A+=+-320p+%2B+3620+\"
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "( 11, 100 )
\n" ); document.write( "\"+A+=+-320p+%2B+3620+\"
\n" ); document.write( "\"+100+=+-320%2A11+%2B+3620+\"
\n" ); document.write( "\"+100+=+-3520+%2B+3620+\"
\n" ); document.write( "\"+100+=+100+\"
\n" ); document.write( "and
\n" ); document.write( "( 6, 1700 )
\n" ); document.write( "\"+A+=+-320p+%2B+3620+\"
\n" ); document.write( "\"+1700+=+-320%2A6+%2B+3620+\"
\n" ); document.write( "\"+1700+=+-1920+%2B+3620+\"
\n" ); document.write( "\"+1700+=+1700+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );