document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170192>Question 1170192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bernite is selling candy bars for a school fundraiser.  The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each.  What is the relationship between the amount of candy sold and the amount of money earned? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851241 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's break down this problem to understand the relationship between candy bars sold and money earned.\r<BR>\n" );
document.write( "\n" );
document.write( "**1. Calculate the Cost Per Candy Bar**\r<BR>\n" );
document.write( "\n" );
document.write( "* The school paid $20.00 for 15 candy bars.<BR>\n" );
document.write( "* Cost per candy bar = $20.00 / 15 bars = $1.3333... (approximately $1.33)\r<BR>\n" );
document.write( "\n" );
document.write( "**2. Calculate the Profit Per Candy Bar**\r<BR>\n" );
document.write( "\n" );
document.write( "* Bernite sells each candy bar for $2.00.<BR>\n" );
document.write( "* Profit per candy bar = Selling price - Cost price<BR>\n" );
document.write( "* Profit per candy bar = $2.00 - $1.3333... = $0.6666... (approximately $0.67)\r<BR>\n" );
document.write( "\n" );
document.write( "**3. Define Variables**\r<BR>\n" );
document.write( "\n" );
document.write( "* Let 'x' represent the number of candy bars Bernite sells.<BR>\n" );
document.write( "* Let 'y' represent the total amount of money Bernite earns (profit).\r<BR>\n" );
document.write( "\n" );
document.write( "**4. Write the Equation**\r<BR>\n" );
document.write( "\n" );
document.write( "* Since Bernite earns approximately $0.67 profit per candy bar, the total profit (y) is the profit per bar multiplied by the number of bars sold (x).<BR>\n" );
document.write( "* y = 0.67x\r<BR>\n" );
document.write( "\n" );
document.write( "**5. Consider Total Earnings (Including the Initial Cost)**\r<BR>\n" );
document.write( "\n" );
document.write( "If you want to look at the total money that Bernite collects, rather than just profit, you would use this equation.\r<BR>\n" );
document.write( "\n" );
document.write( "* Total earnings = (Selling price per bar) * (Number of bars sold)<BR>\n" );
document.write( "* Total earnings = 2 * x\r<BR>\n" );
document.write( "\n" );
document.write( "**6. Describe the Relationship**\r<BR>\n" );
document.write( "\n" );
document.write( "* **Profit:** The amount of money Bernite earns (profit) is directly proportional to the number of candy bars she sells. For each candy bar sold, she earns approximately $0.67 in profit. The equation y = 0.67x represents this linear relationship.\r<BR>\n" );
document.write( "\n" );
document.write( "* **Total earnings:** The total amount of money collected is 2 times the number of candy bars sold.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );