document.write( "Question 1127059: A rectangle has a fixed width of 8 inches and a length of 0 inches. The length of the rectangle then begins increasing at 2.4 inches per second.
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document.write( "A)Write a formula that expresses the length of the rectangle in inches, l, in terms of the number of seconds t since the rectangle began growing.
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document.write( "B)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the length of the rectangle in inches, l.
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document.write( "C)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the number of seconds t since the rectangle began growing.
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document.write( "D)Suppose the function g determines the perimeter of the rectangle in inches given a number of seconds t since the rectangle started growing. Write a function formula for g. \n" );
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Algebra.Com's Answer #743414 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the perimeter of a rectangle is equal to 2L + 2W. \n" ); document.write( "the perimeter of the rectangle is represented by P.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2L + 2W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when W is fixed at 8, the perimeter of the rectangle becomes P = 2L + 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A)Write a formula that expresses the length of the rectangle in inches, l, in terms of the number of seconds t since the rectangle began growing.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time in seconds is represented by T. \n" ); document.write( "the length of the rectangle increases by 2.4 inches every second.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = 2.4 * T\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the length of the rectangle in inches, l.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2L + 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C)Write a formula that expresses the perimeter of the rectangle in inches, P, in terms of the number of seconds t since the rectangle began growing.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2 * 2.4 * T + 16 which becomes P = 4.8 * T + 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D)Suppose the function g determines the perimeter of the rectangle in inches given a number of seconds t since the rectangle started growing. Write a function formula for g.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "g(T) = 4.8 * T + 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when T = 0, the perimeter of the rectangle is equal to 0 + 16 = 16.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when T = 1, the perimeter of the rectangle is equal to 4.8 + 16 = 20.8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when T = 2, the perimeter of the rectangle is equal to 9.6 + 16 = 25.6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "etc...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "keep in mind that the formula for the perimeter of the rectangleis P = 2 * L + 2 * W. \n" ); document.write( "W is always 8, so the formula becomes P = 2 * L + 16. \n" ); document.write( "L is equal to 2.4 * T, so the formula becomes P = 2 * 2.4 * T + 16. \n" ); document.write( "after simplification, the formula becomes P = 2.8 * T + 16.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |