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10

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To find the constant of proportionality: divide the second column by the first column.

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If numbers are the same then theres a proportional relationship

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If numbers are the same then theres a proportional relationship

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A constant of proportionality is the number you multiply 1 column by to  get to the other in a proportional relationship.(Also known as the unit rate.)

# data[].attributes.subject
A constant of proportionality is the number you multiply 1 column by to  get to the other in a proportional relationship.(Also known as the unit rate.)

# data[].attributes.body
if there the same # it is a C.O.P

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Pr stands for proportional refashion ship

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In general, two qualities in a proportional relationship will always have the same quotient or constant of proportionality.

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A proportional relationship is a situation where two quantities are always in the same ratio.  

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A proportional relationship is a situation where two quantities are always in the same ratio.  

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If there is a problem that states there is a constant rate, we are likely to have a proportional relationship between quantities of intrest, but however, there are situations presented to us that is unclear whether a proportional relationship is a good model.

# data[].attributes.body
look at the quotient if the reciprocals are different then they are NOT a proportional relationship
if the reciprocals ARE the same then it is a proportional relationship

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If two quantities are in a Proportional Relationship then their quotient is the same.

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If quantity y is proportional to quantity x, we will always see this pattern: y/x will always have the same value. This value we often refer to as k.

# data[].attributes.headline
If quantity y is proportional to quantity x, we will always see this pattern: y/x will always have the same value. This value we often refer to k. 

# data[].attributes.subject
If quantity y is proportional to quantity x, we will always see this pattern: y/x will always have the same value. This value we often refer to k. 

# data[].attributes.body
if all of them are the same it is a c.o.p

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If quantity y in proportional to quantity x, we will always see this pattern y/x will always be the same. This value we often refer to as k

# data[].attributes.subject
If quantity y in proportional to quantity x, we will always see this pattern y/x will always be the same. This value we often refer to as k

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if there is a problem that states there is a constant rate we are likely to have a proportional relationship between quantities of interest however there ARE situations present to us that is unclear whether a proportional  relationship is a good model  

# data[].attributes.subject
if there is a problem that states there is a constant rate we are likely to have a proportional relationship between quantities of interest however there ARE situations present to us that is unclear whether a proportional  relationship is a good model  

# data[].attributes.body
The constant of proportionality will always be reciprocals of eachother

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b/a=k

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Original Equation:  y = kx
Switch my variables
Change my C.o.P. to its reciprocal.
New Equation: x = (1/k)y

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y = kx
y --> Second Column
k --> C.o.P
x --> First Column

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If we have an equation written in a different form than y=kx, then it doesn't represent a proportional relationship.

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If two quantities are in a proportional relationship, then their quotient is always the same.