To find the unit rate of flour to sugar in this recipe:

The recipe calls for:

• $\frac{3}{4}$ cups of flour
• 1 pound of sugar, and we know 1 pound = 4 cups.

Now, the unit rate of flour to sugar compares cups of flour to cups of sugar. Since 1 pound of sugar equals 4 cups, we can express the sugar amount in cups.

Thus, the unit rate is:

$\frac{\frac{3}{4} \text{ cups of flour}}{4 \text{ cups of sugar}} = \frac{3}{4} \div 4 = \frac{3}{4} \times \frac{1}{4} = \frac{3}{16}$

So, the unit rate of flour to sugar is $\frac{3}{16}$, meaning for every 1 cup of sugar, you use $\frac{3}{16}$ cups of flour.

Would you like more details or have any questions?

Here are some related questions:

1. How do you convert unit rates in different contexts?
2. What is the ratio of flour to sugar in simplest form?
3. How do you calculate a unit rate from a word problem?
4. How can unit rates be applied in recipes with different ingredients?
5. How would the unit rate change if more flour is added but sugar remains the same?

Tip: Always ensure the units you are comparing (cups, pounds, etc.) are consistent when calculating a unit rate.