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.

Question

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.

asnaseer · Answer

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

anonymous · Answer

I don't o.o

asnaseer · Answer

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

anonymous · Answer

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

asnaseer · Answer

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

asnaseer · Answer

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

anonymous · Answer

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

asnaseer · Answer

where 'c' is some other constant

asnaseer · Answer

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.