document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97050>Question 97050</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808583/algebrahomeworkh>prentice hall-algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> question 1<BR>\n" );
document.write( "Find a linear model and use it to make a prediction\r<BR>\n" );
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document.write( "7.  A 2 mile cab ride costs $5.25. A 5 mile cab ride cost $10.50. How much does a 3.8 mile cab ride cost? \r<BR>\n" );
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document.write( "I figured out the answer is y=1.75x+1.75\r<BR>\n" );
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document.write( "But I have no idea how to solve it.\r<BR>\n" );
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document.write( "Question 2<BR>\n" );
document.write( "Suppose f(x)= 2x+5 and g(x)= -1/3x + 2 find each value. (Hint: For 2g(x), find g(x) first and then mulitiply the result by 2\r<BR>\n" );
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document.write( "54. f(-2) / g(f(-2)+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70739 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ANS 1<BR>\n" );
document.write( "Since it is given that the cost is a linear representation of distance\r<BR>\n" );
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document.write( "let us represent the cost C = k*m + A  ( similar to y=mx +c)<BR>\n" );
document.write( "where k is the coefficient of m ( the miles travelled) and A a constant factor\r<BR>\n" );
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document.write( "A 2 mile cab ride costs $5.25.<BR>\n" );
document.write( " 5.25 = k*2 + A .......(2)\r<BR>\n" );
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document.write( " A 5 mile cab ride cost $10.50<BR>\n" );
document.write( "10.50 = k*5 + A ........(3)\r<BR>\n" );
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document.write( "Subtractin (2) from (3)\r<BR>\n" );
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document.write( "5.25 = 3k <BR>\n" );
document.write( "k = 5.25/3 =1.75\r<BR>\n" );
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document.write( "Substituting k in (2)\r<BR>\n" );
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document.write( "5.25 = 1.75*2 + A<BR>\n" );
document.write( "A= 5.25 - 3.50= 1.75\r<BR>\n" );
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document.write( "Putting the values of k and A in (1)\r<BR>\n" );
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document.write( "we have the Cost C= 1.75m + 1.75 where m is the distance covered.\r<BR>\n" );
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document.write( "ANS 2  given f(x)= 2x+5 and g(x)= -1/3x + 2 \r<BR>\n" );
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document.write( "to evaluate f(-2) / g(f(-2)+1)<BR>\n" );
document.write( "we have f(-2) = 2* (-2) +5 =1<BR>\n" );
document.write( "now g(f(-2)+1)<BR>\n" );
document.write( "=g(1+1)    putting the value of f(-2) from above<BR>\n" );
document.write( "=g(2) = -1/3*2 + 2<BR>\n" );
document.write( "      =-1/6 +2 <BR>\n" );
document.write( "      =11/6\r<BR>\n" );
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document.write( "f(-2) / g(f(-2)+1) = 1/(11/6)= 6/11\r<BR>\n" );
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document.write( " </SPAN>\n" );
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