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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Got stumped on this question, any help in solving it would be appreciated! Thanks.
\n" ); document.write( "

Algebra.Com's Answer #698690 by josgarithmetic(39625)\"\" \"About 
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( "\"y=mx%2Bb\"
\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( "\"m=%281725-925%29%2F%28200-100%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=800%2F100\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m=8\"\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"b=y-mx\"\r
\n" ); document.write( "\n" ); document.write( "\"b=925-8%2A100\"\r
\n" ); document.write( "\n" ); document.write( "\"b=125\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=8x%2B125%29\"\r
\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( "
\n" );