document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174662>Question 174662</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028253345/algebrahomeworkh>Glencoe Algebra 1 Volume Two <intergration, Applications, Connections></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> It's kind of like a question. They solve it and such, but the steps in which they solved it is unclear. I am hoping that you'll make it clearer to me. it would be greatly appreciated. I'll type the whole question to you. \r<BR>\n" );
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document.write( "...this is the question...<BR>\n" );
document.write( "-Unita likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can Unita tutor and baby-sit and still make at least $65 per week?<BR>\n" );
document.write( "...then it goes on to explain...\r<BR>\n" );
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document.write( "Let x represent the number of hours Unita can baby-sit each week. Let y represent the number of hours she can tutor each week. Since both x and y represent a number of hours, neither can be a negative number. Thus, x -greater or equal to 0 and y is greater or equal to 0. Then the following systems of inequalities can be used to represent the conditions of this problem.<BR>\n" );
document.write( "...then it goes on further...\r<BR>\n" );
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document.write( "x is greater or equal to 0<BR>\n" );
document.write( "y is greater or equal to 0<BR>\n" );
document.write( "3x + 6y is greater or equal to 65<BR>\n" );
document.write( "x + y is less than or equal to 15\r<BR>\n" );
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document.write( "-i regret to tell you i can't send you the picture of the graph. Now my question is, how did they take that information and place it into the graph? I await your answer with great anticipation. Also i ask that you to explain it to me as if i was a five year old -no offense to you it's just my mind is slow to accumulating information quickly- Thank you again! <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129690 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is greater or equal to 0<BR>\n" );
document.write( "Because, 'x' represents the number of hours Unita baby-sat, it has to \"equal to or greater\" than zero because you can't work for \"negative hours\".<BR>\n" );
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document.write( "y is greater or equal to 0<BR>\n" );
document.write( "Similarly, because 'y' represents the number hour Unita tutored -- it has to \"equal to or greater\" than zero because you can't work for \"negative hours\".<BR>\n" );
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document.write( "Since there are two variables -- x and y -- we'll need to find two expressions or formulas.<BR>\n" );
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document.write( "The first formula deals with the amount of money she makes:<BR>\n" );
document.write( "That is, \"total earned by baby-sitting\" plus \"total earned tutoring\" has to be \"greater or equal\" to $65.<BR>\n" );
document.write( "3x + 6y >= 65<BR>\n" );
document.write( "The expression on the left side is the \"total amount\" Unita earned by baby-sitting and tutoring.  For example, since she gets $3 per hour for baby-sitting, the amount earned is 3 times the number of hours she baby-sat (which is 'x').  The same for 6y.<BR>\n" );
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document.write( "The second formula deals with the total number of hours Unita worked:<BR>\n" );
document.write( "That is, \"total hours baby-sitting\" plus \"total hours tutoring\" has to be \"less than or equal\" to 15 hours.<BR>\n" );
document.write( "x + y <= 15<BR>\n" );
document.write( "This expression represents hours<BR>\n" );
document.write( "Since her parents is allowing her to work a MAXIMUM of 15 hours, the hours worked baby-sitting plus the hours worked tutoring has be \"less than or equal\" to 15.<BR>\n" );
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document.write( "The graph represents these two formulas.  The first:<BR>\n" );
document.write( "3x + 6y >= 65<BR>\n" );
document.write( "Manipulate to \"slope-intercept\" form:<BR>\n" );
document.write( "6y >= -3x + 65<BR>\n" );
document.write( "y >= (-3/6)x + 65/6<BR>\n" );
document.write( "y >= (-1/2)x + 65/6<BR>\n" );
document.write( "graping this line: slope=(-1/2) and y-intercept at (0, 65/6)<BR>\n" );
document.write( "Since it is >= the line is SOLID and you SHADE the area ABOVE this line.<BR>\n" );
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document.write( "The second:<BR>\n" );
document.write( "x + y <= 15<BR>\n" );
document.write( "Manipulate to \"slope-intercept\" form:<BR>\n" );
document.write( "y <= -x + 15<BR>\n" );
document.write( "graping this line: slope=(-1) and y-intercept at (0, 15)<BR>\n" );
document.write( "Since it is <= the line is SOLID and you SHADE the area BELOW this line.<BR>\n" );
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document.write( "Where the two shaded regions OVERLAP are the possible values for x and y.<BR>\n" );
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document.write( "Write back if you still have questions. </SPAN>\n" );
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