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shadmanr163
Group Title
Are there any common tricks with inverse and direct variation? Examples would be very helpful for me.
 2 years ago
 2 years ago
shadmanr163 Group Title
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

badreferences Group TitleBest 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

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

badreferences Group TitleBest 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

badreferences Group TitleBest 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

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

badreferences Group TitleBest 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

shadmanr163 Group TitleBest ResponseYou've already chosen the best response.1
like 6/6
 2 years ago

badreferences Group TitleBest 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

shadmanr163 Group TitleBest ResponseYou've already chosen the best response.1
inversely
 2 years ago

badreferences Group TitleBest 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

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

badreferences Group TitleBest 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

badreferences Group TitleBest 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

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

badreferences Group TitleBest 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

shadmanr163 Group TitleBest ResponseYou've already chosen the best response.1
inversely
 2 years ago

shadmanr163 Group TitleBest ResponseYou've already chosen the best response.1
Am I right?
 2 years ago
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