document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165966>Question 1165966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jenny gets paid $9 per hour working as a waiter at a local restaurant. Her boss also pays her $10 per hours to design graphics for their weekly specials menu. She works a total of 30 hours each week. The following functions can be used to define this situation. Let x represent the hours that Jenny works each week as a waiter. Let s represent the number of hours that Jenny works designing menu graphics each week. <BR>\n" );
document.write( "b(x) = 9x<BR>\n" );
document.write( "h(x) = 30 - x<BR>\n" );
document.write( "g(s) = 10s\r<BR>\n" );
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document.write( "Select the equation for g(h(x)) and what does it represent in context.\r<BR>\n" );
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document.write( "Group of answer choices\r<BR>\n" );
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document.write( "10(9x)\r<BR>\n" );
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document.write( "10(30-x)\r<BR>\n" );
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document.write( "30 - 10s\r<BR>\n" );
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document.write( "30 - 9x\r<BR>\n" );
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document.write( "The amount of money Jenny earns waiting tables each week\r<BR>\n" );
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document.write( "The number of hours Jenny waits tables each week\r<BR>\n" );
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document.write( "The amount of money Jenny earns designing menu graphics each week\r<BR>\n" );
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document.write( "The number of hours Jenny designs graphics for the menu each week<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790432 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=790432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b(x) = 9x tells you how much she makes each week by waiting on tables.<BR>\n" );
document.write( "h(x) = 30 - x tells you how many hours she works on designing graphics for their weekly specials menu.<BR>\n" );
document.write( "g(s) = 10s tells you how much she makes each week designing menu graphics.\r<BR>\n" );
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document.write( "g(h(x)) replaces s in the equation of g(s) with 30 - x from the equation of h(x)\r<BR>\n" );
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document.write( "start with g(s) = 10 * s<BR>\n" );
document.write( "replace s with 30 - x to get g(h(x)) = 10 * (30 - x)\r<BR>\n" );
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document.write( "g(h(x)) = 10 * (30 - x) tells you how much she makes by designing menu graphics each week.\r<BR>\n" );
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document.write( "consider:<BR>\n" );
document.write( "she works a total of 30 hours each week.<BR>\n" );
document.write( "she works x hours as a waitress and s hours as a special menu graphics designer.\r<BR>\n" );
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document.write( "assume she worked 10 hours as a waitress.<BR>\n" );
document.write( "b(x) = 9 * x becomes b(10) = 9 * 10 = 90 dollars each week that she makes as a waitress.<BR>\n" );
document.write( "g(s) = s tells you how many hours she works as a designer.<BR>\n" );
document.write( "h(x) = 30 - x also tells you how many hours she works as a designer.<BR>\n" );
document.write( "assuming you don't know the value of s but only know the value of x, the you would use g(h(x)) to find out how much she made as a designer.<BR>\n" );
document.write( "g(h(x)) replaces s in g(s) with 30 - x from h(x).<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "g(h(x)) = 10 * (30 - x)<BR>\n" );
document.write( "since you know that h(x) = 10, then the formula becomes:<BR>\n" );
document.write( "g(10)) = 10 * 20 = 200\r<BR>\n" );
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document.write( "this says she makes 90 dollars as a waitress and 200 dollars as a designer for a total weekly salary of 290 dollars.\r<BR>\n" );
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document.write( "x = 10, so b(x) = 9 * 10 = 90<BR>\n" );
document.write( "s = (30 - 10) = 20, so g(s) = 10 * 200\r<BR>\n" );
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document.write( "your answers to the questions are shown below:\r<BR>\n" );
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document.write( "Select the equation for g(h(x)) and what does it represent in context.<BR>\n" );
document.write( "Group of answer choices<BR>\n" );
document.write( "10(9x)<BR>\n" );
document.write( "10(30-x) ***** select this one<BR>\n" );
document.write( "30 - 10s<BR>\n" );
document.write( "30 - 9x<BR>\n" );
document.write( "The amount of money Jenny earns waiting tables each week = 90<BR>\n" );
document.write( "The number of hours Jenny waits tables each week = 10<BR>\n" );
document.write( "The amount of money Jenny earns designing menu graphics each week =  200<BR>\n" );
document.write( "The number of hours Jenny designs graphics for the menu each week = 20\r<BR>\n" );
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document.write( " </SPAN>\n" );
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