document.write( "Question 80620: A snow storm lasts for 9 hours and dumps snow at a rate of 1.5 in./hr. If there was already 6 in. of snow on the ground before the storm, the snow depth is given by the equation: y = 3/2x +6, where y is the snow depth in inches and
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document.write( "x is the time in hours.
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document.write( "a)Find the snow depth at the end of the storm
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document.write( "b) How long had it snowed when the total snow depth was 15in? \n" );
document.write( "
Algebra.Com's Answer #57989 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! snow storm lasts for 9 hours and dumps snow at a rate of 1.5 in./hr. If there was already 6 in. of snow on the ground before the storm, the snow depth is given by the equation: y = (3/2)x + 6, where y is the snow depth in inches and \n" ); document.write( "x is the time in hours. \n" ); document.write( ": \n" ); document.write( "a)Find the snow depth at the end of the storm \n" ); document.write( ": \n" ); document.write( "x is given as time so, substitute 9 for x in the equation y = (3/2)x + 6 \n" ); document.write( "y = (3/2)*9 + 6 \n" ); document.write( "y = (27/2) + 6 \n" ); document.write( "y = 13.5 + x \n" ); document.write( "y = 19.5 inches in 9 hrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "b) How long had it snowed when the total snow depth was 15in? \n" ); document.write( ": \n" ); document.write( "Snow depth given as y so substitute 15 for y in the same equation; \n" ); document.write( "15 = (3/2)x + 6 \n" ); document.write( "or \n" ); document.write( "1.5x + 6 = 15; decimal will work better here \n" ); document.write( "1.5x = 15 - 6; subtracted 6 from both sides \n" ); document.write( "1.5x = 9 \n" ); document.write( "x = 9/1.5; divide both sides by 1.5 \n" ); document.write( "x = 6 hrs \n" ); document.write( ": \n" ); document.write( "Check using x=6 \n" ); document.write( "y = (3/2)6 + 6 \n" ); document.write( "y = 9 + 6 \n" ); document.write( "y = 15 inches \n" ); document.write( " |