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A proportional relationship exists when two variables are related by a constant ratio. In the expression y-2.5x, there is no constant multiplier connecting y and x, indicating a non-proportional relationship. If the relationship were proportional, the expression would be in the form y = kx, where k is a constant.
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Is it true that the graph of a proportional relationship does not include the origin?
It is true in the case of inversely proportional relationship.
How can you use a table to decide if a relationship is proportional?
If the ratio between each pair of values is the same then the relationship is proportional. If even one of the ratios is different then it is not proportional.
When a rate of change varies from point to point the relationship is what?
it is a proportional relationship because a proportional relationship is known as a relationship between two quantities in which the ratio of one quantity to the other quantity is constant.
How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
How do you know if a graph is proportional?
It is a graph of a proportional relationship if it is either: a straight lie through the origin, ora rectangular hyperbola.
