Guide :

# constant of proportionality

you bike 9.6 miles in 1.2 hours at a steady rates.what equation respresent the proportionality relationship between the x hours you you bike and the distance y miles in miles that you travel

## Research, Knowledge and Information :

### Proportionality (mathematics) - Wikipedia

Direct proportionality. Given two variables x and y, y is directly proportional to x if there is a non-zero constant k such that =. ...

### Constant of proportionality - The Free Dictionary

Related WordsSynonymsLegend: Switch to new thesaurus Noun 1. constant of proportionality - the constant value of the ratio of two proportional quantities x and y ...

### Directly Proportional and Inversely Proportional - Math Is Fun

Constant of Proportionality. The "constant of proportionality" is the value that relates the two amounts

### Proportionality constant for direct variation (video) | Khan ...

y is directly proportional to x. If y equals 30 when x is equal to 6, find the value of x when y is 45. So let's just take this each statement at a time. y is ...

### IXL - Find the constant of proportionality from a table (7th ...

Fun math practice! Improve your skills with free problems in 'Find the constant of proportionality from a table' and thousands of other practice lessons.

### Definition of Constant of Proportionality | Define Constant ...

Example of Constant of Proportionality. Circumference (C) of a circle is proportional to its diameter (d). Circumference of a circle is given as

### Constant of Proportionality - Solving Math Problems

Proportionality & Unit Rate Find the constant of proportionality and the unit rate for the data in the table. Then write an equation to represent the relationship ...

### Identify the constant of proportionality (unit rate) (1 ...

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

### Identifying the Constant of Proportionality - Video & Lesson ...

Identifying the Constant of Proportionality. One Saturday morning, you find yourself at the local grocery store helping out with a little shopping for your family.

### Proportionality Constant | Definition of Proportionality ...

Define proportionality constant: the constant ratio of one variable quantity to another to which it is proportional

## Suggested Questions And Answer :

### three things determine if a relationship is proportional

If x is one variable in the relationship and y is the other, then xy=constant for all values of x and y (that's inverse proportionality); or y=ax (where a is a constant) for direct proportionality, so that y=0 when x=0. So we could say: One variable changes as the other changes: one increases as the other increases in a linear fashion (a graph would be a straight line) – direct proportionality; If directly proportional, the graph is a straight line passing through the origin; One variable changes as the other changes: one increases as the other decreases (non-linear) – inverse proportionality, and their product is constant.

### Is 2y=5x+1 a direct variation?

y and x are not directly proportional because of the presence of the constant 1. The quantity (y-1/2) is directly proportional to 5x/2 and the constant of proportionality or variation is 5/2 because 2y-1=5x, y-1/2=5x/2.

### what is the constant of proportionality represent

????????????????? "konstant av proposhsunalitytytytyt.."????????? . . . miles / ours=MPH.....SPEED, SPEED, SPEED, SPEED, SPEED

### Is 2y=5x+1 a direct variation?

Divide the equation through by 2: y=5x/2+1/2. This shows that y varies linearly as x varies, and the constant of variation is 5/2. However, the presence of 1/2 means that y does not vary in direct proportion to x. For example, when x doubles, y does not double in direct proportion, so if x=2 y=11/2 and when x doubles to 4, y=21/2, which is less than 11/2*2=11>21/2. It is true that (y-1/2)=5x/2 is a direct proportion between y-1/2 and x, but otherwise, no, the equation is not a direct variation or proportion.

### stating and explaining boyles law and charles law

It's all to do with proportion. Boyle's Law has the pressure of a gas inversely proportional to its volume. This means that as the volume of a fixed amount of gas decreases, its pressure increases, and vice versa, provided there is no change of temperature. This seems logical, because as a gas disperses (volume increases) the pressure it exerts drops. It also means that the product of pressure and volume is constant. Charles Law takes the volume and temperature as measurements, and keeps the pressure constant. This, too, is logical. If you heat a gas its volume increases and if you cool it the volume decreases. So volume is directly proportional to temperature. But there's a catch. The temperature isn't Fahrenheit or Celcius, because these are two different scales. Absolute temperature is what has to be measured which has its zero at absolute zero when the molecules of the gas are at rest. The temperature is in degrees Kelvin, which has is zero at -273 degrees Celcius. This means that all temperatures must be converted to degrees Kelvin, otherwise it has no meaning. So V is proportional to T where V=volume and T=absolute temperature.

### How do I find an inverse variation equation for a bridge-length experiment

The number of pennies, N, required to break the bridge length L is inversely proportional to the length. This is the basis for an equation. There may be a constant factor involved, so we call K this constant and we write N=p/L+K. Can we find a constant of proportionality to make this equation true for the values we have? Let's see. 24=p/4+K; 16=p/6+K; 13=p/8+K; 11=p/9+K; 9=p/10+K. We can eliminate K by subtracting one equation from another. We need to remember that the equation may only be approximate, a guide, if you like. Let's take the first two equations: 24-16=p(1/4-1/6), so 8=p/12, and p=96. Now take the last two: 11-9=p(1/9-1/10), so 2=p/90 making p=180. Let's take the first and last equations: 24-9=p(1/4-1/10), so 15=3p/20 and p=100. Take the second and third equations: 16-13=p(1/6-1/8), so 3=p/24 and p=72. So far p hasn't been particularly consistent having possible values between 72 and 180. Note also that if p=96, K=0; but if p=72, K=4. And K could be -1. Then there's something else: the breaking weight of pennies always involves a whole number of pennies, because they can't be split; so if N pennies is not quite enough to break the bridge, N+1 would certainly do it, so we can't expect N to be nicely rounded to a whole number. What we can say, though, is that if N is large it's more likely to be more accurate than if N is small. The first two equations show this. The third equation would be consistent with the first two if N=12 rather than 13. So we could go for N=96/L as the equation which fits the first two sets of figures and nearly fits the third. Let's use N=96/L and see what we get for (N,L). (24,4), (16,6), (12,8), (11,9), (10,10) and (24,4), (16,6), (13,7), (11,9), (9,11), depending on whether we start with N or L to find L or N. As a model, then, the formula gives reasonable results.

### Proportion

From the table first column, y is 5 times x (5*2=10). The same proportional relation exists between the numbers in the other two columns, so a=5*4=20 and 5b=1.6, so b=1.6/5=0.32. The other way of doing this is to look at the rows instead of the columns. In the x row 4 is twice 2 and in the y row a would be twice 10=20. And b/2=1.6/10=0.16, so b=2*0.16=0.32. In the light of further info, i.e., y inversely proportional to x^2, we can write y=A/x^2, and substitute y=10 and x=2, from which A=40, A being the constant of proportionality. Therefore a=40/16=5/2=2.5 and 1.6=40/b^2 so b^2=40/1.6=25, therefore b=5.

### what is the word to where the constant k in a direct and inverse variation equation

It could be "proportionality" or just "proportional" as in "proportional to".

### find the constant of variation k if: x=24 and y=6

y=kx, so we find k by putting in the given values: 6=24k, k=6/24=1/4 so y=x/4 and the constant of variation or proportionality is 1/4.

### how do I write an equation based on a two-column table of data?

You need to find a relationship between the independent (we'll call x)  and dependent (we'll call y) variables first. Sometimes it's simple proportionality: y=px where p is a common constant of proportionality for each row of the table; sometimes it's linear: y=px+a where as well as p we have a sort of displacement called the y intercept which is added after applying p, you can tell if's linear by lookin at the difference of consecutive x and y values in the table. If we take two y values y1 and y2 and their corresponding x values x1 and x2 and work out p=(y1-y2)/(x1-x2) for all corresponding listed values in the table, and this calculated value of p is the same for all of them then we have a linear relationship y=px+a. We find a by taking any single row (x, y value) and then a=y-px for whatever (x,y) we picked. The value of a may be positive or negative. If it's inverse proportionality the rule xy=p applies to every corresponding x and y value and we can also have the relationship y=(p/x)+a so a=y-(p/x) for all corresponding pairs (x,y). There are other more complicated relations that can be made into an equation, but the most likely ones for this type of question are the linear relationships, direct and inverse prortionality.