document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=505764>Question 505764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lina is considering installing solar panels on her house. Solar Advantage offers to install solar panels that generate 300 kWh of electricity per month for an installation fee of $11,000. She uses 350 kWh of electricity per month, and her local utility company charges 20¢ per kWh. <BR>\n" );
document.write( "(a) If Lina gets all her electrical power from the local utility company, find a linear function U that models the cost U(x)(in dollars) of electricity for x months of service.\r<BR>\n" );
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document.write( "(b) If Lina has Solar Advantage install solar panels on her roof that generate 300 kWh of power per month, find a linear function S that models the cost S(x)(in dollars) of electricity for x months of service.\r<BR>\n" );
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document.write( "(c) Determine the number of months it would take to reach the break-even point for installation of Solar Advantage's solar panels, that is, determine when S(x) = U(x).(Round your answer to the nearest month.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340012 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=340012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solar Advantage offers to install solar panels that generate 300 kWh of electricity per month for an installation fee of $11,000.<BR>\n" );
document.write( " She uses 350 kWh of electricity per month, and her local utility company charges 20¢ per kWh.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(a) If Lina gets all her electrical power from the local utility company, find a linear function U that models the cost U(x)(in dollars) of electricity for x months of service.<BR>\n" );
document.write( "U(x) = x(.20*350)<BR>\n" );
document.write( "U(x) = 70x<BR>\n" );
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document.write( "(b) If Lina has Solar Advantage install solar panels on her roof that generate 300 kWh of power per month, find a linear function S that models the cost S(x)(in dollars) of electricity for x months of service.<BR>\n" );
document.write( "S(x) = x(.20*50) + 11000<BR>\n" );
document.write( "S(x) = 10x + 11000<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(c) Determine the number of months it would take to reach the break-even point for installation of Solar Advantage's solar panels, that is, determine when S(x) = U(x).(Round your answer to the nearest month<BR>\n" );
document.write( "70x = 10x + 11000<BR>\n" );
document.write( "70x - 10x = 11000<BR>\n" );
document.write( "60x = 11000<BR>\n" );
document.write( "x = 11000/60<BR>\n" );
document.write( "x = 183.33 months to break even </SPAN>\n" );
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