document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185361>Question 185361</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533520/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and C=$2000 when n=2000, find the linear equation that expresses C in terms of n. What is the cost if only one circuit board is produced in a week?\r<BR>\n" );
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document.write( "Equation that expresses C in terms of n: C= mn + b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139058 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=139058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and C=$2000 when n=2000, find the linear equation that expresses C in terms of n. What is the cost if only one circuit board is produced in a week? <BR>\n" );
document.write( "Equation that expresses C in terms of n: C= mn + b<BR>\n" );
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document.write( "You have 2 points (1000,1500) and (2000,2000)<BR>\n" );
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document.write( "slope = (2000-1500)/(2000-1000) = 1/2<BR>\n" );
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document.write( "Form: C = mn + b<BR>\n" );
document.write( "You know m=1/2, and you know C=2000 when n= 2000 ; solve for \"b\":<BR>\n" );
document.write( "2000 = (1/2)2000 + b<BR>\n" );
document.write( "2000 = 1000 + b<BR>\n" );
document.write( "b = 1000<BR>\n" );
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document.write( "Equation: C(n) = (1/2)n + 1000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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