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Question
when a group of ratios are equivalent, it means there is a proportional relationship between the quantities. at the shelter, is there a proportional relationship between the number of cats and the number of cans of cat food? explain.
A proportional relationship exists when the ratio between two quantities is constant. If the number of cans of cat - food per cat is always the same at the shelter, then the number of cats and the number of cans of cat - food have a proportional relationship. For example, if each cat always gets 2 cans of food, then if there are 5 cats, there are 10 cans; if there are 10 cats, there are 20 cans. The ratio of cans to cats is always 2.
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If the amount of cat - food per cat is constant, then there is a proportional relationship between the number of cats and the number of cans of cat - food. If the amount of cat - food per cat varies, then there is no proportional relationship.