document.write( "Question 1084608: The cost varied linearly with the number of hours the staff worked. When the staff worked 200 hours the cost was $1725, and when the staff worked 100 hours the cost was $925. What would it cost if the staff worked 150 hours?\r
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document.write( "Got stumped on this question, any help in solving it would be appreciated! Thanks. \n" );
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Algebra.Com's Answer #698690 by josgarithmetic(39625) ![]() You can put this solution on YOUR website! ------------------------------------------------------------------------ \n" ); document.write( "The cost varied linearly with the number of hours the staff worked. \n" ); document.write( "------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "x, hours \n" ); document.write( "y, cost\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Two points from description as (x,y): \n" ); document.write( "(200, 1725) and (100, 925).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- \n" ); document.write( "-------------------------------------------------------------- \n" ); document.write( "What would it cost if the staff worked 150 hours? \n" ); document.write( "-------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You actually do not need the equation. Simple linear interpolation should be enough. 150 is exactly in the middle of 100 and 200 hours. Find therefore the exact middle of $1725 and $925: \n" ); document.write( "- \n" ); document.write( "$1325 \n" ); document.write( " |