document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045730>Question 1045730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to write an equation for this: Shirley is going to have the exterior of her home painted. Tim's Painting charges $250 plus $14 an hour. Colorful Paints charges $22 per hour. How many hours would the job need to take for Tim's Painting to be the better deal?\r<BR>\n" );
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document.write( "I'm pretty sure the answer is 32 hours. I just don't know how to write an equation showing my answer.\r<BR>\n" );
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document.write( "There is another 1 that I don't know how to do at all. <BR>\n" );
document.write( "Tracey is looking at different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. M&N Travel offers a plane ticket for $350 and a rental car for $33 per day. What is the minimum number of days that Shirley's vacation should be for M&N Travel to have the better deal?<BR>\n" );
document.write( "I have no idea how to answer this or write the equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661231 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=661231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Shirley is going to have the exterior of her home painted.<BR>\n" );
document.write( " Tim's Painting charges $250 plus $14 an hour.<BR>\n" );
document.write( " Colorful Paints charges $22 per hour.<BR>\n" );
document.write( " How many hours would the job need to take for Tim's Painting to be the better deal? <BR>\n" );
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document.write( "write a cost equation for each, t = time in hrs<BR>\n" );
document.write( "Tims: C(t) = 14t + 250<BR>\n" );
document.write( "Colorful: C(t) = 22t<BR>\n" );
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document.write( "Colorful's cost is greater than Tim's cost<BR>\n" );
document.write( "22t > 14t + 250<BR>\n" );
document.write( "22t - 14t > 250<BR>\n" );
document.write( "8t > 250<BR>\n" );
document.write( "t > 250/8<BR>\n" );
document.write( "t > 31.25; your answer of 32 hrs is correct. Prove this:<BR>\n" );
document.write( "22*32 = $704, Colorful<BR>\n" );
document.write( "14*32 + 250 = $698, Tim's<BR>\n" );
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document.write( "This is much the same thing<BR>\n" );
document.write( "Tracey is looking at different travel agencies to plan her vacation.<BR>\n" );
document.write( " ABC Travel offers a plane ticket for $295 and a rental car for $39 per day.<BR>\n" );
document.write( " M&N Travel offers a plane ticket for $350 and a rental car for $33 per day.<BR>\n" );
document.write( " What is the minimum number of days that Shirley's vacation should be for M&N Travel to have the better deal?<BR>\n" );
document.write( "let d = no. of days<BR>\n" );
document.write( "ABC: C(d) = 39d + 295<BR>\n" );
document.write( "M%N: C(d) = 33d + 350<BR>\n" );
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document.write( "ABC cost is greater than M&N cost<BR>\n" );
document.write( "39d + 295 > 33d + 350<BR>\n" );
document.write( "39d - 33d > 350 - 295<BR>\n" );
document.write( "6d > 55<BR>\n" );
document.write( "d > 55/6<BR>\n" );
document.write( "d > 9.16 ~ 10 days M&N will be the better deal<BR>\n" );
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document.write( "Prove this<BR>\n" );
document.write( "ABC: 39(10) + 295 = $685<BR>\n" );
document.write( "M%N: 33(10) + 350 = $680<BR>\n" );
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document.write( "Does this make sense to you now? Not really that hard, is it? CK </SPAN>\n" );
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