document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172851>Question 172851</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Direct deposit. The percentage of workers receiving direct<BR>\n" );
document.write( "deposit of their paychecks went from 32% in 1994 to 60%<BR>\n" );
document.write( "in 2004 (www.directdeposit.com). Let 1994 be year 0 and<BR>\n" );
document.write( "2004 be year 10.\r<BR>\n" );
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document.write( "a) Write the equation of the line through (0, 32) and<BR>\n" );
document.write( "(10, 60) to model the growth of direct deposit.\r<BR>\n" );
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document.write( "b) Use the accompanying graph to predict the year in<BR>\n" );
document.write( "which 100% of all workers will receive direct deposit<BR>\n" );
document.write( "of their paychecks.\r<BR>\n" );
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document.write( "c) Use the equation from part (a) to predict the year in<BR>\n" );
document.write( "which 100% of all workers will receive direct deposit </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129855 by </B><A HREF=/tutors/aboutme.mpl?userid=actuary><B>actuary(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=actuary><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=129855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the point-slope form of a line to write the equation.\r<BR>\n" );
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document.write( "The slope m = (60-32)/(10-0) = 28/20 = 2.8\r<BR>\n" );
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document.write( "The point-slope formula is y-32 = 2.8*(x-0) = 2.8*x\r<BR>\n" );
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document.write( "y= 2.8*x + 32\r<BR>\n" );
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document.write( "Using the graph, the predicted year in which, 100% of the workers will receive their paychecks via direct deposit is 26.\r<BR>\n" );
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document.write( "Using the equation, y = 2.8*x + 32 to make the prediction, solve the equation<BR>\n" );
document.write( "100 = 2.8*x + 32 for x<BR>\n" );
document.write( " 100-32 = 2.8*x<BR>\n" );
document.write( "  68 = 2.8*x<BR>\n" );
document.write( "   x = 68/2.8<BR>\n" );
document.write( "   x = 24.3 years from 1994 = 2018.3 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-40%2C70%2C-20%2C120%2C2.8%2Ax%2B32%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-40%2C70%2C-20%2C120%2C2.8%2Ax%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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