Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix. What is the constant of proportionality for the ratio of pancake mix to milk? Two-thirds StartFraction 6 over 9 EndFraction Three-halves StartFraction 9 over 6 EndFraction

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Step-by-step explanation:

The ratio simplified is 3:2 which is for every three cups of pancake mix there is 2 cups of milk. In this situation for each batch Vector wants to make of pancake he has to have 9 cups of pancake mix for every 6 cups of milk or the original 9:6 ratio.

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Tysm!

The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.

What do we mean by the constant of proportionality?

When two or more ratios are in proportion, their simplest form is always the constant. This simplest form is the constant of proportionality.

How do we solve the given question?

We are informed that Hector made a batch of pancakes for his guests. He used 6 cups of milk, 3 eggs, and 9 cups of pancake mix.

We are asked to find the constant of proportionality for the ratio of pancake mix to milk.

As pancake mix and milk are the ingredients used, they will always be in proportion. So to calculate their constant of proportionality, we take the ratio of pancake mix to milk and reduce it to its simplest form.

The ratio of pancake mix to milk = 9/6

Reducing this to its simplest form, we get the constant of proportionality = 3/2

∴ The constant of proportionality for the ratio of pancake mix to milk is 3/2. Hence, 3rd option is the right choice.

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