document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147045>Question 1147045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Application of Functions\r<BR>\n" );
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document.write( "1. If a sample of gas such as helium is​ heated, it will expand. The formula​ <BR>\n" );
document.write( "V(T) = 0.147T​ + 40 calculates the volume V in cubic inches of a sample of gas at temperature T in degrees Celsius.\r<BR>\n" );
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document.write( "Answer the following questions.\r<BR>\n" );
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document.write( "​a) Evaluate​ V(0) and interpret the results. \r<BR>\n" );
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document.write( "​V(0)=________\r<BR>\n" );
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document.write( "Interpret the​ results:\r<BR>\n" );
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document.write( "A. At 40 degrees Celsius the volume of the gas is 0 cubic inches.\r<BR>\n" );
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document.write( "B. At 0 degrees​ Celsius, the volume of the gas is 40 cubic inches.\r<BR>\n" );
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document.write( "b) What is the volume of gas when the temperature is 100 degrees​ Celsius?<BR>\n" );
document.write( " The volume is _______cubic inches.<BR>\n" );
document.write( " (Round your answer to the nearest​ tenth.)\r<BR>\n" );
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document.write( "​c) Write a formula that gives the volume of a gas that at 0 degrees Celsius has a Volume of 137 cubic centimeters. This gas increases in volume by 0.5 cubic centimeters for every 1 degree increase in temperature. \r<BR>\n" );
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document.write( "Fill in the values for the​ formula: V(T)​ = ___T+___ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768324 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> v(0)=40 cu in, since the t term is 0.<BR>\n" );
document.write( "0=0.147(0)+40 , which is 40.  <BR>\n" );
document.write( "40=0.147(40)+40, which is inconsistent. 40 does not equal 98.8; besides, there can be no volume of 0 for a gas at a temperature > absolute 0.\r<BR>\n" );
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document.write( "v(100)=0.147*100+40=14.7+40=54.7 cu in\r<BR>\n" );
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document.write( "the last one would be v(t)=0.5t+137, the rate of increase being the slope and the constant being the y-intercept. </SPAN>\n" );
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