document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127058>Question 1127058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side length of a square starts at 0 cm and then begins increasing at a constant rate of 10 cm per second. <BR>\n" );
document.write( "A) Write a formula that expresses the side length of the square in cm, s, in terms of the number of seconds t since the square started growing.<BR>\n" );
document.write( "B)Write a formula that expresses the area of the square in cm2, A, in terms of the side length of the square in cm, s.<BR>\n" );
document.write( "C)Write a formula that expresses the area of the square in cm2, A, in terms of the number of seconds t since the square started growing.<BR>\n" );
document.write( "D)Suppose the function f determines the area of the square in cm2 given a number of seconds t since the square started growing. Write a function formula for f. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743415 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> S = the length of the side of the square.<BR>\n" );
document.write( "A = the area of the square.\r<BR>\n" );
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document.write( "the formula for the area of a square is A = S^2.\r<BR>\n" );
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document.write( "the length of the side of the suare increased by 10 centimeters every second.\r<BR>\n" );
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document.write( "T = the number of seconds.\r<BR>\n" );
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document.write( "A) Write a formula that expresses the side length of the square in cm, s, in terms of the number of seconds t since the square started growing.\r<BR>\n" );
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document.write( "S = 10 * T\r<BR>\n" );
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document.write( "B)Write a formula that expresses the area of the square in cm2, A, in terms of the side length of the square in cm, s.\r<BR>\n" );
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document.write( "A = S^2\r<BR>\n" );
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document.write( "C)Write a formula that expresses the area of the square in cm2, A, in terms of the number of seconds t since the square started growing.\r<BR>\n" );
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document.write( "A = (10 * T) ^2 which can be simplified to A = 100 * T^2.\r<BR>\n" );
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document.write( "D)Suppose the function f determines the area of the square in cm^2 given a number of seconds t since the square started growing. Write a function formula for f.\r<BR>\n" );
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document.write( "f(T) = 100 * T^2\r<BR>\n" );
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document.write( "when T = 0, f(0) = 100 * 0^2 = 0\r<BR>\n" );
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document.write( "this is derived as follows:\r<BR>\n" );
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document.write( "A = S^2<BR>\n" );
document.write( "S = 10 * T<BR>\n" );
document.write( "when T = 0, S = 10 * 0 = 0<BR>\n" );
document.write( "when S = 0, A = 0^2 = 0\r<BR>\n" );
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document.write( "when T = 1, f(1) = 100 * 1^2 = 100\r<BR>\n" );
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document.write( "this is derived as follows:\r<BR>\n" );
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document.write( "A = S^2<BR>\n" );
document.write( "S = 10 * T<BR>\n" );
document.write( "when T = 1, S = 10 * 1 = 10<BR>\n" );
document.write( "when S = 10, A = 10^2 = 100\r<BR>\n" );
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document.write( "when T = 2, f(2) = 100 * 2^2 = 100 * 4 = 400\r<BR>\n" );
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document.write( "this is derived as follows:\r<BR>\n" );
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document.write( "A = S^2<BR>\n" );
document.write( "S = 10 *T<BR>\n" );
document.write( "when T = 2, S = 10 * 2 = 20<BR>\n" );
document.write( "when S = 20, A = 20^2 = 400\r<BR>\n" );
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document.write( "etc for all values of T\r<BR>\n" );
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document.write( " </SPAN>\n" );
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