Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Are there any common tricks with inverse and direct variation? Examples would be very helpful for me.
 2 years ago
 2 years ago
Are there any common tricks with inverse and direct variation? Examples would be very helpful for me.
 2 years ago
 2 years ago

This Question is Closed

badreferencesBest ResponseYou've already chosen the best response.1
Let's say I was able to measure productivity \(w\), profit \(p\), and cost of materials \(c\) quantitatively. A reasonable model for an explicitly simple system would be:\[p=\frac{w}{c}\]Now, which variables vary directly, and which vary indirectly? Tell me what you think. Even if it's wrong.
 2 years ago

shadmanr163Best ResponseYou've already chosen the best response.1
Vary Directlyc Vary indireclyw I am not sure.
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
Alright, so as \(p\) increases in\[p=\frac{w}{c}\]either \(w\) is getting higher, or \(c\) is getting lower, or both. For instance, if \(p=2\), \(w=6\), and \(c=3\), what are possible values of \(w,c\) if I increased \(p=4\)?
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
Very good. You noticed that \(w\) increased (by a larger margin than \(c\))? Now, returning to the previous question, what if I reduced \(p=1\)?
 2 years ago

shadmanr163Best ResponseYou've already chosen the best response.1
if reduced by one then 1=infinite no of solutions?
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
Yes, there are an infinite number of solutions. I'm asking what are possible solutions.
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
Yup. Noticed now how \(c\) increased by a larger margin than \(w\)? So what do you think: does \(p\) increase and decrease directly or inversely with \(c\) and \(w\)?
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
Not both. Which to which? If I increase \(p\), \(w\) generally grows larger and \(c\) smaller, so the number \(w/c\) is larger. If I decrease \(p\), \(w\) generally grows smaller, and \(c\) larger, so \(w/c\) grows smaller. Do you understand?
 2 years ago

shadmanr163Best ResponseYou've already chosen the best response.1
Yeah! Thanks a lot so much. :) Now I understand
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
So, final test. Does \(c\) vary inversely or directly with \(p\)? What about \(w\)?
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
Hey, I invested time into this. I want to see you actually learned something. :P
 2 years ago

shadmanr163Best ResponseYou've already chosen the best response.1
Just, Hold on a bit I will get to it...
 2 years ago

badreferencesBest ResponseYou've already chosen the best response.1
@myininaya I know you're an actual teacher, you might be better here. :P
 2 years ago
See more questions >>>
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.