document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100603>Question 100603</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0669433942/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The heigh, b, that a basketball will bounce on a hardwood floor varies with the height,h, from which the ball is dropped. A basketball dropped from 5 feet will bounce 2.8 feet. Write an equation that relates b to h. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73232 by </B><A HREF=/tutors/aboutme.mpl?userid=TP><B>TP(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TP><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this question you should be aware of the following result.<BR>\n" );
document.write( "\"Given two quantities y and x where y varies directly with x then the relationship between y and x can be written as: y=kx where k is a constant\". \r<BR>\n" );
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document.write( "Since the bounce varies DIRECTLY with the height from which it is dropped then the relationship between the height and bounce can be expressed as<BR>\n" );
document.write( "                            b=k*h (i)<BR>\n" );
document.write( "where h= the height from which the ball is dropped,b=the height of the bounce and k= a constant value.\r<BR>\n" );
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document.write( "In order to find the equation that links b to h we must find the value of the constant k.<BR>\n" );
document.write( "To do this we use the rest of the given information which is that when the ball is dropped from 5 feet the bounce is 2.8 feet.<BR>\n" );
document.write( "This means that when h=5,b is equal to 2.8.<BR>\n" );
document.write( "Knowing this means that we can now replace h and b in equation (i) by these values so that the equation becomes:<BR>\n" );
document.write( "                            2.8=k*5 or 5k=2.8<BR>\n" );
document.write( "Now share both sides of the equation by 5 and we get:<BR>\n" );
document.write( "                            k=2.8/5=5.6/10=0.56\r<BR>\n" );
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document.write( "Hence the equation b=k*h can now be written as b=0.56h ANS<BR>\n" );
document.write( " </SPAN>\n" );
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