A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt. Which of the following rates are unit rates equivalent to the ratios shown above? Select all that apply.

Option 2: 1 teaspoon of baking soda per 1 cup of flour

Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda

Step-by-step explanation:

The recipe has 3 ingredients mixed in the following ratio =>

½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt

Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:

Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.

¼ salt : ½ baking soda

2 salt : x baking soda

Thus, ¼ / ½ = ²/x

Cross multiply

¼*x = ½*2

x/4 = 1

x = 4

Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.

Option 2 => 1 teaspoon of baking soda : 1 cup of floor.

½ baking soda : ½ flour

1 baking soda : x flour

Thus, ½ / ½ = ¹/x

Cross multiply

½*x = ½*1

x/2 = ½

Multiply both sides by 2

x = ½*2

x = 1

Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.

Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.

¼ salt : ½ baking soda

½ salt : x baking soda

Thus, ¼ / ½ = ½/x

Cross multiply

¼*x = ½*½

x/4 = ¼

Multiply both sides by 4

x = ¼*4

x = 1

Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.

Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.

½ baking soda : ¼ salt

1 baking soda : x salt

Thus, ½ / ¼ = 1/x

Cross multiply

½*x = ¼*1

x/2 = ¼

Multiply both sides by2

x = ¼*2

x = ½

Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.

Option 5 => 2 teaspoon of salt : 1 cup of flour

¼ salt : ½ flour

2 salt : x flour

Thus, ¼ / ½ = ²/x

Cross multiply

¼*x = ½*2

x/4 = 1

x = 4

Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.

The correct options are option 2 and option 3.

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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