MHB Inverse Variation: Solving Problem Formula

  • Thread starter Thread starter Coder74
  • Start date Start date
  • Tags Tags
    Inverse Variation
AI Thread Summary
Pressure (P) varies inversely with area (A), expressed by the formula P = k/A, where k is a constant of proportionality. To find k, substitute the given values of area and pressure, specifically (A, P) = (40, 4), into the equation. Solving for k yields a value that aligns with the relationship described. This approach illustrates how inverse variation can be applied to real-world problems involving pressure and area. Understanding this concept is crucial for solving similar mathematical problems effectively.
Coder74
Messages
20
Reaction score
0
What is the formula to solving a problem like this?
Thanks in advance!

View attachment 6458
 

Attachments

  • help forum.PNG
    help forum.PNG
    29.5 KB · Views: 90
Mathematics news on Phys.org
The statement that pressure $P$ varies inversely with area $A$ may be written mathematically as:

$$P=\frac{k}{A}\tag{1}$$

Where $k$ is called the constant of proportionality. We may determine $k$ from the information provided, namely that we know the pressure for a given area. We are given:

$$(A,P)=(40,4)$$

Substitute that ordered pair into equation (1), and then solve for $k$...what do you get? You should in fact find that the value of $k$ makes perfect sense here. ;)
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »
Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

B Are Inverse Problems More Complex Than Direct Problems in Mathematics?
Replies
13
Views
3K
I Calculating the inverse of a function involving the error function
Replies
3
Views
2K
I Calculus of Variations on Kullback-Liebler Divergence
Replies
3
Views
2K
I What are the applications of inverses of vector functions?
Replies
17
Views
3K
MHB Inverse variation or direct or neither?
Replies
1
Views
2K
A Margules' Power Series Formula: Deriving Coefficients
Replies
1
Views
1K
MHB Finding the Inverse of f(x) = x/(x+4)
Replies
2
Views
1K
MHB Linear combination of sine and cosine function
Replies
3
Views
1K
Variation of parameter VS Undetermined Coefficients
Replies
7
Views
2K
B What Are the Variations of the Collatz Conjecture and Their Implications?
Replies
11
Views
3K

Hot Threads

Recent Insights

Back
Top