document.write( "Question 169171: Marlena is making her own bracelets. Each bracelets will have 10 beads. WRite a function rule to describe the number of beads she will use. Find a reasonable domain and range for the fuction if Marlena makes up to 7 bracelets. \n" ); document.write( "
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\"Marlena is making her own bracelets. Each bracelet will have 10 beads. Write a function rule to describe the number of beads she will use. Find a reasonable domain and range for the fuction if Marlena makes up to 7 bracelets.\"\r
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\n" ); document.write( "\n" ); document.write( "We'll have \"x\" be the number of bracelets and \"y\" be the number of beads.\r
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\n" ); document.write( "\n" ); document.write( "\"Marlena makes up to 7 bracelets\": because of this statement, we know that x, the number of bracelets, may not go over 7.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3C=7\"\r
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\n" ); document.write( "\n" ); document.write( "Logically, Marlena cannot make a negative number of bracelets, so we also know that x has to be more than (or equal to) 0.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=0\"\r
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\n" ); document.write( "\n" ); document.write( "So our logical domain would be:
\n" ); document.write( "\"0%3C=x%3C=7\"
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\n" ); document.write( "We know that each bracelet has ten beads, so the amount of beads used would be ten times the amount of bracelets, or \"y=10x\"---in f(x) form, this is the function----> \"f%28x%29=10x\".\r
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\n" ); document.write( "\n" ); document.write( "To get the logical range, all we have to do is use the logical domain, which we already have, and use the same inequality signs.\r
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\n" ); document.write( "\n" ); document.write( "Plug in 7 and 0, our logical domain, for x to get the logical range, y.\r
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\n" ); document.write( "\n" ); document.write( "\"y%3C=10%287%29\"
\n" ); document.write( "\"y%3C=70\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%3E=10%280%29\"
\n" ); document.write( "\"y%3E=0\"\r
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\n" ); document.write( "\n" ); document.write( "So the logical range would be
\n" ); document.write( "\"0%3C=y%3C=70\"
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\n" ); document.write( "Domain: \"0%3C=x%3C=7\"
\n" ); document.write( "Range: \"0%3C=y%3C=70\"\r
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