A recipe asks that the following three ingredients be mixed together:

- Add 2 1/2 cups of flour for every 2 1/2 teaspoons of baking soda and every 4 1/4 teaspoons of salt.

Which of the following rates are unit rates equivalent to the ratios shown above? Select two that apply.

a. 1 cup of flour for every 1 teaspoon of baking soda
b. 2 cups of flour for every 2 teaspoons of baking soda
c. 1/2 cup of flour for every 1/2 teaspoon of baking soda
d. 4 teaspoons of salt for every 4 cups of flour
e. 1 teaspoon of baking soda for every 1/2 cup of flour
f. 4 teaspoons of salt for every 1 cup of flour

The unit rates equivalent to the given ratios in the recipe are: a. 1 cup of flour for every 1 teaspoon of baking soda and c. 1/2 cup of flour for every 1/2 teaspoon of baking soda.

Explanation:

This question is asking to determine which two unit rates are equivalent to the given ratios in the recipe. A unit rate is a ratio that compares two quantities where one of the quantities is one unit.

Based on the ratio provided: 2 1/2 cups of flour for every 2 1/2 teaspoons of baking soda, and every 4 1/4 teaspoons of salt, we can simplify this to 1 cup of flour for every 1 teaspoon of baking soda and 5/8 cup of flour for every 1 teaspoon of salt.

Therefore, the options that are unit rates equivalent to the given ratios are: a. 1 cup of flour for every 1 teaspoon of baking soda and c. 1/2 cup of flour for every 1/2 teaspoon of baking soda.

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