A recipe uses 2 tablespoons of sugar and 1/2 teaspoon of vanilla. Which two unit rates can be used for this relationship?

A. 2 tablespoons of sugar: 1/2 teaspoon of vanilla

B. 1 tablespoon of sugar: 1/4 teaspoon of vanilla

C. 1/2 teaspoon of vanilla: 2 tablespoons of sugar

D. 1/4 teaspoon of vanilla: 1 tablespoon of sugar

Seeing Things Differently Quiz

1. 39.36 ft
2. 1350 kg
3. 1gal/3.79=12,500/xL
4. $5.75 per square foot
5. 1 tablespoon of sugar: 1/4 teaspoon of vanilla
1/4 teaspoon of vanilla: 1 tablespoon of sugar
6. 18-ounce box for $4.50
7. Kevin
8. Theater B; each ticket costs $12.75
9. $15
10. 100

is this right dude?

Yes, I can confirm that this is right, thanks notsure

To determine the unit rates, we need to express the relationship between the amount of sugar and the amount of vanilla in terms of a common unit.

Option A states that 2 tablespoons of sugar correspond to 1/2 teaspoon of vanilla. To find the unit rate, we want to determine the amount of sugar for one unit of vanilla. We can divide both sides of the equation by 1/2 to isolate the amount of sugar for one unit of vanilla:

(2 tablespoons of sugar) / (1/2 teaspoon of vanilla) = 4 tablespoons of sugar.

Therefore, the unit rate for option A would be 4 tablespoons of sugar to 1 teaspoon of vanilla.

Option B states that 1 tablespoon of sugar corresponds to 1/4 teaspoon of vanilla. Similarly, we can divide both sides of the equation by 1/4 to find the unit rate:

(1 tablespoon of sugar) / (1/4 teaspoon of vanilla) = 4 tablespoons of sugar.

Therefore, the unit rate for option B would also be 4 tablespoons of sugar to 1 teaspoon of vanilla.

So, the correct answers are option A (2 tablespoons of sugar: 1/2 teaspoon of vanilla) and option B (1 tablespoon of sugar: 1/4 teaspoon of vanilla).