A community for students.
Here's the question you clicked on:
 0 viewing
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.
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.

This Question is Closed

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1do you know how to write "w varies directly with x" as an equation?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1ok, this can be written as:\[w=ax\]where 'a' is some constant

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so a, being some constant, is part of how it relates to z?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1yes  thats right. similarly, "x varies inversely with y" can be written as:\[x=\frac{b}{y}\]where 'b' is some other constant

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1finally "y varies inversely with z" can be written as:\[y=\frac{c}{z}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well that makes sense now that you put it that way thanks!

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1where 'c' is some other constant

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.1now 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.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.