document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2477>Question 2477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The charge for Yellow's Yard Service is a linear function of the number of hours the yard work<BR>\n" );
document.write( "takes. Len was charged $44 for three hours of yard work, while his neighbor Mavis was charged<BR>\n" );
document.write( "$60 for five hours of work. Write the cost C of having Yellow's work on a lawn as a function <BR>\n" );
document.write( "of the number of hours n it takes them to finish the work<BR>\n" );
document.write( " Thanks in advance for your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1057 by </B><A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><B>AnlytcPhil(1806)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><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=AnlytcPhil><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> >>...The charge for Yellow's Yard Service is a linear function of the number of hours the yard work takes. Len was charged $44 for three hours of yard work, while his neighbor Mavis was charged $60 for five hours of work. Write the cost C of having Yellow's work on a lawn as a function of the number of hours n it takes them to finish the work Thanks in advance for your help!!...<<<BR>\n" );
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document.write( ">>...Len was charged $44 for three hours of yard work,...<<<BR>\n" );
document.write( ">>...the cost C...<<<BR>\n" );
document.write( ">>...number of hours n...<< <BR>\n" );
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document.write( "Translation:  when n = 3, C = 44 <BR>\n" );
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document.write( ">>...Mavis was charged $60 for five hours of work...<<<BR>\n" );
document.write( ">>...the cost C...<<<BR>\n" );
document.write( ">>...number of hours n...<< <BR>\n" );
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document.write( "translation: when n = 5, C = 60<BR>\n" );
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document.write( "We turn this into the problem:<BR>\n" );
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document.write( "Write the equation of the line which passes through the two points (3, 44) and (5, 60)<BR>\n" );
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document.write( "Use slope formula:<BR>\n" );
document.write( "m = (y<sub>2</sub> - y<sub>1</sub>)/(x<sub>2</sub> - x<sub>1</sub>)<BR>\n" );
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document.write( "m = (60 - 44)/(5 - 3) = 16/2 = 8<BR>\n" );
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document.write( "Use point-slope fomula:<BR>\n" );
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document.write( "y = y<sub>1</sub> = m(x - x<sub>1</sub>)<BR>\n" );
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document.write( "y - 44 = 8(x - 3)<BR>\n" );
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document.write( "y - 44 = 8x - 24<BR>\n" );
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document.write( "y = 8x + 20<BR>\n" );
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document.write( "Now we change y to C and x to n<BR>\n" );
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document.write( "C = 8n + 20<BR>\n" );
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document.write( "Check: Substitute n=3 and get C = 8(3) + 20 = 24+20 = 44<BR>\n" );
document.write( "Substitute n=5 and get C = 8(5) + 20 = 40+20 = 60<BR>\n" );
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document.write( "Edwin\r<BR>\n" );
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