document.write( "Question 945556: Suppose the number of pages an author produces is related to the time she spends writing by a linear equation. To produce 9 pages requires 120 minutes of writing and to produce 17 pages requires 200 minutes. If she writes for 360 minutes how many pages will she produce? \n" ); document.write( "
Algebra.Com's Answer #576742 by josmiceli(19441)\"\" \"About 
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Plot pages on the vertical axis
\n" ); document.write( "Plot minutes on the horizontal axis
\n" ); document.write( "--------------------------------
\n" ); document.write( "You are given 2 points:
\n" ); document.write( "( 120, 9 )
\n" ); document.write( "( 200, 17 )
\n" ); document.write( "Let \"+p+\" = number of pages
\n" ); document.write( "Let \"+t+\" = number of minutes
\n" ); document.write( "-----------------------------
\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( "\"+%28+p+-+9+%29+%2F+%28+t+-+120+%29+=+%28+17+-+9+%29+%2F+%28+200+-+120+%29+\"
\n" ); document.write( "\"++%28+p+-+9+%29+%2F+%28+t+-+120+%29+=+8+%2F+80+\"
\n" ); document.write( "\"++%28+p+-+9+%29+%2F+%28+t+-+120+%29+=+1%2F10+\"
\n" ); document.write( "\"+p+-+9+=+%28+1%2F10+%29%2A%28+t+-+120+%29+\"
\n" ); document.write( "\"+10p+-+90+=+t+-+120+\"
\n" ); document.write( "\"+10p+=+t+-+30+\"
\n" ); document.write( "\"+p+=+%28+1%2F10+%29%2At+-+3+\"
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 120,9 ) ?
\n" ); document.write( "\"+9+=+%28+1%2F10+%29%2A120+-+3+\"
\n" ); document.write( "\"+12+=+12+\"
\n" ); document.write( "OK
\n" ); document.write( "does it go through ( 200,17 ) ?
\n" ); document.write( "\"+17+=+%28+1%2F10+%29%2A200+-+3+\"
\n" ); document.write( "\"+20+=+20+\"
\n" ); document.write( "OK
\n" ); document.write( "-------------
\n" ); document.write( "given:
\n" ); document.write( "\"+t+=+360+\"
\n" ); document.write( "\"+p+=+%28+1%2F10+%29%2At+-+3+\"
\n" ); document.write( "\"+p+=+%28+1%2F10+%29%2A360+-+3+\"
\n" ); document.write( "\"+p+=+36+-+3+\"
\n" ); document.write( "\"+p+=+33+\"
\n" ); document.write( "She will write 33 pages\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );