A community for students.
Here's the question you clicked on:
 0 viewing
shadmanr163
 2 years ago
Are there any common tricks with inverse and direct variation? Examples would be very helpful for me.
shadmanr163
 2 years ago
Are there any common tricks with inverse and direct variation? Examples would be very helpful for me.

This Question is Closed

badreferences
 2 years ago
Best ResponseYou've already chosen the best response.1Let'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.

shadmanr163
 2 years ago
Best ResponseYou've already chosen the best response.1Vary Directlyc Vary indireclyw I am not sure.

badreferences
 2 years ago
Best ResponseYou've already chosen the best response.1Alright, 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 \(p=4\)?

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

shadmanr163
 2 years ago
Best ResponseYou've already chosen the best response.1if reduced by one then 1=infinite no of solutions?

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

badreferences
 2 years ago
Best ResponseYou've already chosen the best response.1Yup. 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 \(w\)?

badreferences
 2 years ago
Best ResponseYou've already chosen the best response.1Not 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?

shadmanr163
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah! Thanks a lot so much. :) Now I understand

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

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

shadmanr163
 2 years ago
Best ResponseYou've already chosen the best response.1Just, Hold on a bit I will get to it...

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