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can i do this without math

This is a math problem, so you will have to do some math.

I don't understand this question. A proportional relationship happens when the ratios that are formed are equal so you have to do the operation by the same number for example if I were multiplying by 2, I would multiply all of the numbers by 2. But in this example, 2 of the pairs were divided by 3 and one was divided by 5. So how come this works?

You wouldn't need to multiply by the same number, because as long as the ratio is equal, they are proportional. In this example, the ratios for all three pairs is 3:5. As another example, 1/2 is proportional to 5/10 and 7/14. Even though you divide by a different factor, you will always get the same ratio of 1 to 2. Hope this helps!

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7th grade

Course: 7th grade > Unit 4

Lesson 4: Identifying proportional relationships

Proportional relationships: spaghetti

Name: Proportional relationships: spaghetti
Uploaded: 2013-07-27T00:15:09Z
Description: Given a table of ratios, watch as we test them for equivalence and determine whether the relationship is proportional.

CCSS.Math:

7.RP.A.2

7.RP.A.2a

Google Classroom

Given a table of ratios, watch as we test them for equivalence and determine whether the relationship is proportional. Created by Sal Khan.

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I don't understand this question. A proportional relationship happens when the ratios that are formed are equal so you have to do the operation by the same number for example if I were multiplying by 2, I would multiply all of the numbers by 2. But in this example, 2 of the pairs were divided by 3 and one was divided by 5. So how come this works?
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- Ada Tur
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  You wouldn't need to multiply by the same number, because as long as the ratio is equal, they are proportional. In this example, the ratios for all three pairs is 3:5. As another example, 1/2 is proportional to 5/10 and 7/14. Even though you divide by a different factor, you will always get the same ratio of 1 to 2. Hope this helps!
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Video transcript

The following table describes the relationship between the number of servings of spaghetti bolognese-- I don't know if I'm pronouncing that-- or bolognese, and the number of tomatoes needed to prepare them. Test the ratios for equivalents, and determine whether the relationship is proportional. Well, you have a proportional relationship between the number of servings and the number of tomatoes is if the ratio of the number of servings to the number of tomatoes is always the same. Or if the ratio of the number of tomatoes to the number of servings is always the same. So let's just think about the ratio of the number of tomatoes to the number of servings. So it's 10 to 6, which is the same thing as 5 to 3. So here the ratio is 5 to 3. 15 to 9, if you divide both of these by 3, you get 5 to 3. So it's the same ratio. 15 to 25, if you divide both of these by 5, you get 5 to 3. So based on this data, it looks like the ratio between the number of tomatoes and the number of servings is always constant. So yes, this relationship is proportional.

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