document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270935>Question 270935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hourly Wage<BR>\n" );
document.write( "Your wage is $8.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y = 8 + 0.75x.\r<BR>\n" );
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document.write( "a. find the inverse function. What does each variable in the inverse function represent.\r<BR>\n" );
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document.write( "b. Use a graphing utility to graph the funciton and its inverse function.\r<BR>\n" );
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document.write( "c. Use the trace feature of a graphing utility to find the hourly wage when 10 units are produced per hour.\r<BR>\n" );
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document.write( "d. Use the trace feature of a graphing utility to find the number of units produced when your hourly wage is $22.25. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198479 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=198479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your wage is $8.00 per hour plus $0.75 for each unit produced per hour.<BR>\n" );
document.write( " So, your hourly wage y in terms of the number of units produced x is y = 8 + 0.75x.<BR>\n" );
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document.write( "a. find the inverse function.<BR>\n" );
document.write( "Swap x and y, solve for y<BR>\n" );
document.write( ".75y + 8 = x<BR>\n" );
document.write( ".75y = x - 8<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2F3 ALIGN=MIDDLE  ALT=\"32%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the inverse<BR>\n" );
document.write( "What does each variable in the inverse function represent.<BR>\n" );
document.write( "y = the units, x = wage<BR>\n" );
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document.write( "b. Use a graphing utility to graph the function and its inverse function.<BR>\n" );
document.write( "Graph both equations, should look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+50%2C+-20%2C+50%2C+.75x%2B8%2C+1.33x-10.67%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+50%2C+-20%2C+50%2C+.75x%2B8%2C+1.33x-10.67%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c. Use the trace feature of a graphing utility to find the hourly wage when 10 units are produced per hour.<BR>\n" );
document.write( "x = 10; y = 15.50 (use the calculate value function, enter 10)\r<BR>\n" );
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document.write( "d. Use the trace feature of a graphing utility to find the number of units produced when your hourly wage is $22.25.<BR>\n" );
document.write( "Using the inverse equation x = 22.25; y = 19 units<BR>\n" );
document.write( "check this on the original equation  </SPAN>\n" );
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