a proportional relationship means that it is contributed equally into other parts or quantities
For proportional relationships the ratio is a constant.
Do all linear graphs have proportional relationship
They aren't.
9
Directly proportional
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pyramid
rational number
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 multiplied by x. Inversely proportional relationships mean that if one of the related things is multiplied in size by a number, x, then the other related thing is divided by x (or multiplied by 1/x , the two are equivalent as multiplication and division are commutative, if that's of interest....) Things can also be related by higher order proportionality. If thing P is proportional to the square of Q (a proportionality of order 2) then if Q is multiplied by a number x, P is multiplied by x2. In general though, if two things are in a proportional relationship it means that when one is multiplied by a certain amount, the other is multiplied by a related amount.
the ones between the two fat people you just looked at
Either a straight line through the origin or a hyperbola.
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.