document.write( "Question 161461: I don't have any idea how to do these word problems. I've been trying but I just don't get it. Can you please help me? I can never understand word problems.\r
\n" ); document.write( "\n" ); document.write( "1) The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How longwill it take to fall 2304 feet?\r
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\n" ); document.write( "\n" ); document.write( "2) x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?\r
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\n" ); document.write( "\n" ); document.write( "If you can help I'd really appreciate it. Thank you so much! I could not do this without you. \n" ); document.write( "
Algebra.Com's Answer #852715 by MathTherapy(10577)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I don't have any idea how to do these word problems. I've been trying but I just don't get it. Can you please help me?\r\n" );
document.write( "I can never understand word problems.\r\n" );
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document.write( "1) The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds\r\n" );
document.write( "it has fallen 1296 feet. How longwill it take to fall 2304 feet?\r\n" );
document.write( "\r\n" );
document.write( "2) x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?\r\n" );
document.write( "\r\n" );
document.write( "If you can help I'd really appreciate it. Thank you so much! I could not do this without you.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "1) The distance an object falls is directly proportional to the square of the time it has been falling.\r\n" );
document.write( "   After 6 seconds, it has fallen 1296 feet. How long will it take to fall 2304 feet?\r\n" );
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document.write( "      D = \"kT%5E2\"\r\n" );
document.write( "  1,296 = \"k%286%5E2%29\" ----- Substituting 1,296 for D (distance), and 6 for T (time) \r\n" );
document.write( "  1,296 = 36k\r\n" );
document.write( "\"%221%2C296%22%2F36\" = k\r\n" );
document.write( "     36 = k\r\n" );
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document.write( "       D = \"kT%5E2\"\r\n" );
document.write( "   2,304 = \"36T%5E2\" --- Substituting 2,304 for D (distance), and 36 for k\r\n" );
document.write( " \"%222%2C304%22%2F36\" = \"T%5E2\"\r\n" );
document.write( "      64 = \"T%5E2\"\r\n" );
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document.write( "Time taken by object to fall 2,304 feet, or \"T+=+sqrt%2864%29\" = 8 secs \r\n" );
document.write( "====================================\r\n" );
document.write( "2) x varies directly as the square of s and inversely as t. How does x change when s is doubled?\r\n" );
document.write( "   When both s and t are doubled?\r\n" );
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document.write( "2a) How does x change when s is doubled? \r\n" );
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document.write( "With this being DIRECT, and INDIRECT/INVERSE VARIATION, and with k being the CONSTANT of PROPORTIONALITY, we get the following equation: \r\n" );
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document.write( "x = \"k%28s%5E2%2Ft%29\" \r\n" );
document.write( "x = \"k%28%28%282s%29%5E2%29%2Ft%29\" ---- Doubling s, or replacing s with 2s\r\n" );
document.write( "x = \"k%28%284s%5E2%29%2Ft%29\"  \r\n" );
document.write( "x = \"highlight%284%29k%28%28s%5E2%29%2Ft%29\" ---- Equation, after s is DOUBLED\r\n" );
document.write( "x =    \"k%28%28s%5E2%29%2Ft%29\" ---- ORIGINAL equation\r\n" );
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document.write( "Upon comparing the 2 equations above, it’s clearly seen that, when s is DOUBLED, x is QUADRUPLED.\r\n" );
document.write( "======================\r\n" );
document.write( "2b) How does x change when both s and t are doubled?\r\n" );
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document.write( "With this being DIRECT, and INDIRECT/INVERSE VARIATION, and with k being the CONSTANT of PROPORTIONALITY, we get the following equation: \r\n" );
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document.write( "x = \"k%28s%5E2%2Ft%29\" \r\n" );
document.write( "x = \"k%28%28%282s%29%5E2%29%2F%282t%29%29\" ---- Doubling “s” and “t”\r\n" );
document.write( "x = \"k%28%284s%5E2%29%2F%282t%29%29\"\r\n" );
document.write( "x = \"k%28%282cross%284%29s%5E2%29%2F%28cross%282%29t%29%29\"  \r\n" );
document.write( "x = \"k%28%282s%5E2%29%2Ft%29\"  \r\n" );
document.write( "x = \"highlight%282%29k%28%28s%5E2%29%2Ft%29\" -- Equation, after “s” and “t” are DOUBLED\r\n" );
document.write( "x =    \"k%28s%5E2%2Ft%29\" ---- ORIGINAL equation\r\n" );
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document.write( "Upon comparing the 2 equations above, it’s clearly seen that, when s and t are DOUBLED, x is DOUBLED also.
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