How can you use rates to determine wheather a situation is a proportional relationship

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If the rate is a constant, the relationship is proportional. (The rate is the constant of porportionality.)

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For two or more points on the function curve, divide the dependent variable value by the independent one. If you get the same result in every case, the relationship is porportional.

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Note

For some non-proportional relationships, it is possible to find points on the graph that will pass the above test. If you suspect the relationship is actually not one of proportionality, try more points. Check also to make sure that (0, 0) is on the curve.

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A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby building casts a shadow that is 40.75 m

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Melanie L. asked • 03/08/16

a pole that is 3.3m tall casts a shadow that is 1.78m long. at the same time, a nearby building casts a shoadow that is 49.75 m long. how tall is the building?

a pole that is 3.3m tall casts a shadow that is 1.78m long. at the same time, a nearby building casts a shoadow that is 49.75 m long. how tall is the building? Round to the nearest meter.

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Jane C. answered • 03/08/16

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Hi Melanie!

This problem involves proportion.

Let x be the unknown, which is the height of the building.