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# what is a proportional relationship

i dont understand it at all

## Research, Knowledge and Information :

### Definition of Proportional - Math is Fun

... The lengths of these two shapes are proportional (one shape's length is always twice as large as the other) Proportions. Copyright © 2016 MathsIsFun.com ...

### Proportionality (mathematics) - Wikipedia

The concept of inverse proportionality can be contrasted with direct proportionality. Consider two variables said to be "inversely proportional" to each other.

### Proportional relationships (practice) | Khan Academy

Practice telling whether or not the relationship between two quantities is proportional by reasoning about equivalent ratios.

### Grade 7 » Ratios & Proportional Relationships | Common Core ...

CCSS.Math.Content.7.RP.A.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a ...

### InterMath / Dictionary / Description

Proportions are the comparison of two equal ratios. Therefore, proportional relationships are relationships between two equal ratios. For example, oranges are sold in ...

### What is the definition of proportional relationships - Answers

Directly proportional relationships mean that if one of the related things is multiplied in size by a number, which we'll call x, then the other related thing is also ...

### Intro to proportional relationships (video) | Khan Academy

What I want to introduce you to in this video is the notion of a proportional relationship. And a proportional relationship between two variables is just a ...

### IXL - Identify proportional relationships (7th grade math ...

Fun math practice! Improve your skills with free problems in 'Identify proportional relationships' and thousands of other practice lessons.

### Proportional Relationships - Definition of Proportional ...

Definition of Proportional Relationships- Two quantities are proportional if they vary in such a way that one of them is a constant multiple of the other.

## 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.

### If in a table the x value is 0 and the y value is another number, would the table be proportional?

No, it can't be proportional because the only value proportional to 0 is zero itself. However, there can be a linear relationship such as y=ax+b, where b is non-zero. Proportionality applies if b=0. And proportionality isn't restricted to a linear relationship. y=ax^3 is a proportionality but y=ax^3+b isn't.

### 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.

### Relationships in proportionas

Relationships are always proportional.  The question is if the proportions are equal to each other. 75 boys in band / 250 boys total = 3 / 10 60 girls in band / 200 girls = 3 / 10 Yes, the proportion of boys in the band and girls in the band are the same.

### Linear Correlation

According to the critical values table, where we use a=0.05 and df=6 (2 fewer than the number of bears), a value of r exceeding 0.707 implies that r=0.855 gives us a 95% probability that there is a significant linear relationship between weight and chest size. The proportion of variation in weight attributable to the linear relationship is given by r^2=0.855^2=0.731 or about 73%. There is very probably a linear relationship between bears' weight and chest size.

### Which value of g makes the equation y+g=5/8x-6 a proportional relationship?

y+g=5/(8x-6) or (5/8x)-6. The second possibility must be the intended question because the first one would lead to a quadratic in x (particular solution for x). So g=-6 and y=5/8x, or xy=5/8 which is inverse proportionality. You had the right answer.

### How do you express the proportional relationship of y and x?

y=x+3 ...................

### what is a proportional relationship

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### do these equations y=3x and y=3x13 represent a proportional relation?

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### what is an equation for a direct variation that includes the point (10,-90)?

-90/10=-9, the constant of variation or proportionality, so y=-9x expresses the relationship of direct variation.