-
The Set Theory I | Week 14 Topics
-
The Set Theory II | Week 2 & 32 Topics
-
The Set Theory III | Week 42 Topics1 Quiz
-
Simple Equations & Change of Subject of Formula | Week 51 Topic1 Quiz
-
Algebraic - Variations | Week 64 Topics1 Quiz
-
Quadratic Equations I | Week 75 Topics1 Quiz
-
Logical Reasoning | Week 86 Topics1 Quiz
-
Construction & Locus I | Week 95 Topics1 Quiz
Topic Content:
- Inverse Variation (Meaning, Examples)
What is Inverse Variation?
Two or more related quantities are said to vary inversely if as one increases, the other decreases or if as one decreases, the other increases e.g. “P varies inversely as V” is written as
\( \scriptsize P \propto \normalsize \frac{1}{V} \scriptsize \; or \; P = \normalsize \frac{K}{V}\)
Where K is a constant
Note that, if \(\scriptsize P = \normalsize \frac{K}{V}\) we can also have \(\scriptsize V = \normalsize \frac{K}{P}\)
thus V is also inversely proportional to P.
In general, if \(\scriptsize P \propto \normalsize \frac{1}{V}\) then also \(\scriptsize V \propto \normalsize \frac{1}{P}\)
Example 5.2.1:
y is inversely proportional to x and y = 4 when x = \( \frac {1}{2} \). Find x when y = 10 (JAMB)
Solution
You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!
Click on the button "Subscribe Now" below for Full Access!
Subscribe Now
Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!
Responses