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?

Question

1.Two-thirds
2.StartFraction 6 over 9 EndFraction
3.Three-halves
4.StartFraction 9 over 6 EndFraction

Answer 1

To find the constant of proportionality for the ratio of pancake mix to milk, we need to determine the ratio of the cups of pancake mix to the cups of milk.

Hector used:

• 9 cups of pancake mix
• 6 cups of milk

The ratio of pancake mix to milk can be expressed as:

\[ \text{Ratio} = \frac{\text{Pancake mix}}{\text{Milk}} = \frac{9}{6} \]

Now we simplify this fraction:

\[ \frac{9}{6} = \frac{3}{2} = 1.5 \]

Therefore, the constant of proportionality for the ratio of pancake mix to milk is:

\[ \frac{9}{6} \]

Thus, the correct answer is:

4. \(\frac{9}{6}\)