document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273583>Question 273583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm having troubles with worded linear equations<BR>\n" );
document.write( "a gardener once noticed that her daffodils were 12cm tall and then that they grew steadily by 1.6cm per day for the next 10 days,<BR>\n" );
document.write( "how would you write an equation for this ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199805 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = amount of days that went by.<BR>\n" );
document.write( "let y = the height of the daffodils.\r<BR>\n" );
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document.write( "equation would be:\r<BR>\n" );
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document.write( "y = 12 + 1.6 * x\r<BR>\n" );
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document.write( "when x = 0, they are 12 cm<BR>\n" );
document.write( "when x = 1, they are 12 + 1.6 cm<BR>\n" );
document.write( "when x = 2, they are 12 + 3.2 cm\r<BR>\n" );
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document.write( "a graph of your equation would look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28600%2C600%2C-2%2C12%2C-5%2C35%2C12%2B1.6%2Ax%2C12%2C28%2C20%29 ALIGN=MIDDLE  ALT=\"graph+%28600%2C600%2C-2%2C12%2C-5%2C35%2C12%2B1.6%2Ax%2C12%2C28%2C20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I placed a horizontal line at y = 12 and y = 28 so you can see that when x = 0, y = 12, and when x = 10, y = 28.\r<BR>\n" );
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document.write( "To trace that, you need to draw a vertical line from the intersection points down to the x-axis.\r<BR>\n" );
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document.write( "The vertical line when x = 0 is the y-axis.\r<BR>\n" );
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document.write( "Each x represents 1 day.\r<BR>\n" );
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document.write( "I have to show negative values because the graph won't display properly without them.\r<BR>\n" );
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document.write( "You read the graph by looking at the y values from x = 0 and working your way to the right until x = 10.\r<BR>\n" );
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document.write( "the domain of your function would be x = 0 to 10\r<BR>\n" );
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document.write( "the range of your function would be y = 12 to 28\r<BR>\n" );
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document.write( "I placed a horizontal line at y = 20.\r<BR>\n" );
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document.write( "trace an imaginary vertical line down from there and you should intersect the x-axis at around 5.\r<BR>\n" );
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document.write( "The other way to check is to plot the points.\r<BR>\n" );
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document.write( "You do that by solving the equation at the selected points.\r<BR>\n" );
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document.write( "How tall were the daffodils after 5 days?\r<BR>\n" );
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document.write( "The value would be y = 12 + (1.6*5) = 12 + 8 = 20 cm.\r<BR>\n" );
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document.write( "At the start, the value of y would be 12 + (1.6 * 0) = 12 + 0 = 12\r<BR>\n" );
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document.write( "After 10 days, the value of y would be 12 + (1.6 * 10) = 12 + 16 = 28\r<BR>\n" );
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document.write( "The slanted line is the graph of your equation.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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