Simple relationship equation major headache

In summary: Once you have k, you have your equation: p = (4q^3) / (3r^2) In summary, the quantity p varies directly with the cube of q and inversely with the square of r. The equation representing this relationship is p = (4q^3) / (3r^2), with the constant k = 4/3.
  • #1
Ronb107
2
0

Homework Statement


The quantity p varies directly with the cube of q and inversely
with the square of r. If p = 3/2, q = 1/2, and r = 1/3, which of the
following equations represents the relationship between p, q,
and r?


Homework Equations


Here's what I did...
(3/2)p = (1/2)q^3 / (1/3)r^2


The Attempt at a Solution


Could not get the answer, which is: p = (4q^3) / (3r^2)

Thanks for your help.

 
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  • #2
Ronb107 said:
(3/2)p = (1/2)q^3 / (1/3)r^2
You are quite right to write down an equation of the form p = Aq3/r2, but you have not used the other information correctly. You need to find the value of A such that the given values of p, q and r are a solution to the equation.
 
  • #3
Ronb107 said:

Homework Statement


The quantity p varies directly with the cube of q and inversely
with the square of r. If p = 3/2, q = 1/2, and r = 1/3, which of the
following equations represents the relationship between p, q,
and r?

Homework Equations


Here's what I did...
(3/2)p = (1/2)q^3 / (1/3)r^2

The Attempt at a Solution


Could not get the answer, which is: p = (4q^3) / (3r^2)

Thanks for your help.

You've got the basic relation right. All that's missing is an unknown constant k. So p=kq^3/(r^2). Just put the given values in for p, q and r and solve for k.
 

FAQ: Simple relationship equation major headache

What is a simple relationship equation?

A simple relationship equation is a mathematical expression that shows the connection between two or more variables. It is often used to represent how one variable changes in relation to another.

Why is the "simple relationship equation major headache"?

The phrase "simple relationship equation major headache" is likely used to express frustration with understanding and solving certain types of equations. These equations can be challenging to interpret and solve, leading to headaches for some people.

What are some common examples of simple relationship equations?

Some common examples of simple relationship equations include linear equations, quadratic equations, and exponential equations. These types of equations are often used in science and math to model real-world relationships.

How do scientists use simple relationship equations?

Scientists use simple relationship equations to analyze and understand the relationships between different variables in their experiments or research. These equations can help them make predictions and draw conclusions about their data.

Are there any tips for solving simple relationship equations?

Yes, there are a few tips that can help with solving simple relationship equations. First, it is important to clearly define and understand the variables in the equation. Then, you can use algebraic techniques such as substitution and elimination to solve for the unknown variable. It can also be helpful to graph the equation to visually see the relationship between the variables.

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