Share

## A Quantity P Varies Jointly With R And S. Which Expression Represents The Constant Of Variation, K?

Question

Question

### Write An Equation Of The Line That Passes Through The Given Points And Is Perpendicular To The Line

### Given The Following Linear Function Sketch The Graph Of The Function And Find The Domain And Range.

### What Is The General Form Of The Equation Of A Circle With Center At (A, B) And Radius Of Length M?

### Find An Equation In Standard Form For The Hyperbola With Vertices At (0, ±2) And Foci At (0, ±11).

### If Y Varies Directly As X, And Y Is 180 When X Is N And Y Is N When X Is 5, What Is The Value Of N?

### Which Statements Are True About The Graph Of The Function F(X) = 6X – 4 + X2? Check All That Apply

### What Is The Common Difference Between Successive Terms In The Sequence? 9, 2.5, –4, –10.5, –17

### Given An Exponential Function For Compounding Interest, A(X) = P(.77)X, What Is The Rate Of Change?

### The Total Number Of Data Items With A Value Less Than The Upper Limit For The Class Is Given By The?

### Choose The Correct Product Of (8X − 4)(8X + 4). 64X2 − 16 64X2 + 16 64X2 − 64X + 16 64X2 + 64X + 16

### What Is The Equation Of The Line That Passes Through (–2, –3) And Is Perpendicular To 2X – 3Y = 6?

### How Can You Quickly Determine The Number Of Roots A Polynomial Will Have By Looking At The Equation

### Which Statements Are True About The Graph Of The Function F(X) = X2 – 8X + 5? Check All That Apply

### Which Of The Following Could Be Used To Calculate The Area Of The Sector In The Circle Shown Above?

### Select The Graph Of The Solution. Click Until The Correct Graph Appears. {X | X < 4} ∩ {X | X > -2}

### Find The Remainder When (X3 – 2) Is Divided By (X – 1). What Is The Remainder? –X2 – 2 X2 – 2 –2 –1

### If Sine Of X Equals 1 Over 2, What Is Cos(X) And Tan(X)? Explain Your Steps In Complete Sentences.

### According To The Rational Root Theorem, Mc006-1.Jpg Is A Potential Rational Root Of Which Function?

### Using The Given Zero, Find One Other Zero Of F(X). I Is A Zero Of F(X).= X4 – 2X3 + 38X2 – 2X + 37

### What Are The Coordinates Of The Center Of The Circle That Passes Through The Points 1 1 1 5 And 5 5

### Which Equation Represents The Line That Passes Through The Point (-2 2) And Is Parallel To Y=1/2X+8

### If An Object Moves 40 M North, 40 M West, 40 M South, And 40 M East, What’S The Total Displacement?

### How Much Water Can Be Held By A Cylindrical Tank With A Radius Of 12 Feet And A Height Of 30 Feet?

### Find A Positive Number For Which The Sum Of It And Its Reciprocal Is The Smallest (Least) Possible

### Find The Lengths Of The Missing Sides In The Triangle Write Your Answers As Integers Or As Decimals

## Answers ( 2 )

A quantity P varies jointly with R and S. This means that when either the value of R or S increases, the value of P will also increase. When one of these variables decreases in value, then so too does P. This type of relationship is expressed by the equation P=KRS; where K represents a constant of variation. The constant K helps to explain how much an increase or decrease in either R or S affects the resultant change in values for P.

The expression which represents the constant of variation, K, is calculated by dividing both sides by RS on both sides resulting in: P/RS = K. This expression can then be rearranged to solve for K: K = (P/RS).

Have you ever wondered what it would be like if a quantity P varied in tandem with R and S? Well, it is possible and it happens all the time! In these situations, we need to find the constant of variation, K.

But what exactly is the constant of variation, K? Well, K is the ratio between the change in the quantity P and the product of the changes in R and S. In other words, K is the number which represents the relationship between P, R and S.

Let’s take a look at an example. Suppose that there is a quantity P which changes by 3 units when R increases from 5 to 10 and S decreases from 8 to 5. In this case, we can calculate the constant of variation, K, by using the following formula:

K = Change in P/Change in (R × S)

= (3/ (5 × 3))

= 0.2

Therefore, the constant of variation, K, in this case is 0.2.

Now that we know what the constant of variation, K, is, let’s look at another example. Suppose that there is a quantity P which changes by 6 units when R increases from 8 to 10 and S decreases from 10 to 5. In this case, the constant of variation, K, would be the following:

K = Change in P/Change in (R × S)

= (6/ (2 × 5))

= 0.6

Therefore, the constant of variation, K, in this case is 0.6.

As you can see, the constant of variation, K, is a very important concept when it comes to understanding how a quantity P varies with R and S. Knowing the value of K will help you better understand the relationship between P, R and S and make predictions about how it will change in the future.