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.

true

step-by-step explanation: