SOLUTION: 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

Algebra ->  Functions -> SOLUTION: 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      Log On


   



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.
Answer by mangopeeler07(462) About Me  (Show Source):
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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."

We'll have "x" be the number of bracelets and "y" be the number of beads.

"Marlena makes up to 7 bracelets": because of this statement, we know that x, the number of bracelets, may not go over 7.

x%3C=7

Logically, Marlena cannot make a negative number of bracelets, so we also know that x has to be more than (or equal to) 0.

x%3E=0

So our logical domain would be:
0%3C=x%3C=7
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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.

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.

Plug in 7 and 0, our logical domain, for x to get the logical range, y.

y%3C=10%287%29
y%3C=70

y%3E=10%280%29
y%3E=0

So the logical range would be
0%3C=y%3C=70
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Domain: 0%3C=x%3C=7
Range: 0%3C=y%3C=70