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## anonymous 4 years ago Help? Suppose w varies directly with x, x varies inversely with y, and y varies inversely with z. Show algebraically how w relates to z.

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1. asnaseer

do you know how to write "w varies directly with x" as an equation?

2. anonymous

I don't o.o

3. asnaseer

ok, this can be written as:$w=ax$where 'a' is some constant

4. anonymous

so a, being some constant, is part of how it relates to z?

5. asnaseer

yes - thats right. similarly, "x varies inversely with y" can be written as:$x=\frac{b}{y}$where 'b' is some other constant

6. asnaseer

finally "y varies inversely with z" can be written as:$y=\frac{c}{z}$

7. anonymous

well that makes sense now that you put it that way thanks!

8. asnaseer

where 'c' is some other constant

9. asnaseer

now all you need to do is to combine all these equations:$w=ax$$x=\frac{b}{y}$$y=\frac{c}{z}$ to get a relation between w and z.

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