document.write( "Question 897962: Okay, so I am doing my algebra homework, and my teacher was gone today so he wasn't here to explain what we do. Could you possibly help me solve this:
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document.write( "\"Your car holds 16 gallons of gas. What would be the reasonable domain and range for the cost to fill up your tank if gas costs $3 per gallon?\"
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document.write( "It'd be very much appreciated if you help! I would have tried to solve it, but I don't even know where to begin. Please and thank you very much! \n" );
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Algebra.Com's Answer #544473 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Let x = the number of gallons in your tank when you arrive\r\n" ); document.write( "at the filling station:\r\n" ); document.write( "\r\n" ); document.write( "Let y = the cost to fill your tank.\r\n" ); document.write( "\r\n" ); document.write( "If your tank is empty, then x = 0 and y = $16×3 = $48\r\n" ); document.write( "\r\n" ); document.write( "If your tank is already full then x = 16 and you will not need\r\n" ); document.write( "any gas and it will cost you nothing, so y = $0\r\n" ); document.write( "\r\n" ); document.write( "So the graph will be a line from the point (0,$48) to (16,$0)\r\n" ); document.write( "\r\n" ); document.write( "So the domain will be 0 ≦ x ≦ 16 and the range will be 0 ≦ y ≦ 48\r\n" ); document.write( "\r\n" ); document.write( "In interval notation the domain is [0,16] and the range is [0,$48]\r\n" ); document.write( "\r\n" ); document.write( "The graph will look like this\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |