document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208335>Question 1208335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dynamic pressure (P) on the wall increased with the square of the speed (s). Initially, P =s = 0. At a speed of 30, the pressure was 13.5. Which of the following functions represents pressure as a function of airspeed? A) P(s)=√6s B) P(s) = 0.015s2 C) P(s) = 1.15 D) P(s) = 0.45s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846687 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52852)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The dynamic pressure (P) on the wall increased with the square of the speed (s). <BR>\n" );
document.write( "Initially, P =s = 0. At a speed of 30, the pressure was 13.5. <BR>\n" );
document.write( "Which of the following functions represents pressure as a function of airspeed? <BR>\n" );
document.write( "A) P(s)=√6s B) P(s) = 0.015s2 C) P(s) = 1.15 D) P(s) = 0.45s<BR>\n" );
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document.write( "Of the four given optional functions (A), (B), (C) and (D), only function (B) \r\n" );
document.write( "increases with the square of the speed. \r\n" );
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document.write( "We only should to check, if this function has the assigned values\r\n" );
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document.write( "    P(0) = 0  and  P(30) = 13.5.\r\n" );
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document.write( "So,   we substtute s= 0  into function (B), and we get P(0)  = 0.015*0^2  = 0, \r\n" );
document.write( "      which corresponds to the given value.\r\n" );
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document.write( "Next, we substtute s= 30 into function (B), and we get P(30) = 0.015*30^2 = 13.5, \r\n" );
document.write( "      which corresponds to the given value, too.\r\n" );
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document.write( "Thus function (B) satisfies all imposed conditions.\r\n" );
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document.write( "So, (B) is the <U>ANSWER</U>.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "The thing which embarrasses me in this problem is the fact that in the \"given\" part<BR>\n" );
document.write( "they talk about <U>\"speed</U>\", while the question asks about <U>\"airspeed\"</U>.\r<BR>\n" );
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document.write( "In true Math problem, all used conceptions must be consistent and do not to raise questions.\r<BR>\n" );
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document.write( "Therefore, in this problem, I would replace the term \"speed\" by the \"air speed\", <BR>\n" );
document.write( "and the term \"airspeed\" by the term \"air speed\", too, in order for everything <BR>\n" );
document.write( "be clear and do not to confuse the reader.\r<BR>\n" );
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document.write( "By the way, the term \"airspeed\" is not what you think.\r<BR>\n" );
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document.write( "By the definition, \"airspeed\" is \"the speed of an aircraft relative to the air through which it is moving.\"\r<BR>\n" );
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document.write( "It is not \"air speed\", as you may think.\r<BR>\n" );
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document.write( "The term \"airspeed\" has one and only one meaning, totally different from the meaning of \"air speed\".\r<BR>\n" );
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document.write( "One goal of Math problems (the major goal) is to teach young students to think<BR>\n" );
document.write( "and to solve Math problems correctly.\r<BR>\n" );
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document.write( "The other, auxiliary goal, is to teach young students to new conceptions and to new terminology<BR>\n" );
document.write( "by introducing new conceptions carefully and using relevant terminology  adequately.<BR>\n" );
document.write( "So, the auxiliary goal is to teach students to speak correctly, in addition to think correctly.\r<BR>\n" );
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document.write( "As this problem is worded and printed in the post, it failed this auxiliary goal TOTALLY.\r<BR>\n" );
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document.write( "As the problem is worded in the post, it makes clear, that the composer/writer<BR>\n" );
document.write( "does not know the subject and does not know terminology.\r<BR>\n" );
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document.write( "It is sad to see it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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