If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.

Mixture A use more salt

Mixture A uses 4 teaspoons more of salt than mixture B

Mixture A tastes saltier because it uses more teaspoons of salt for the same cups of water than mixture B

Step-by-step explanation:

Here are recipes for two mixtures of salt and water that taste different. Mixture A: salt (teaspoons) water (cups) 4 5 7 8 3/4 9 11 1/4 Mixture B is defined by the equation y=2.5x , where x is the number of teaspoons of salt and y is the number of cups of water. Respond to the following questions: 1. If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. 2. Which mixture tastes saltier? Explain how you know.

Mixture A: salt water

4 5

7 8 3/4

9 11 1/4

Water = 5 cups when salt = 4 teaspoons

5 = k * 4

k = 5/4

y = 5/4x

Mixture B is defined by the equation y=2.5x ,

Where,

y = number of cups of water.

x = number of teaspoons of salt

Mixture A:

y = 5/4x

Mixture B:

y = 2.5x

When y = 10 cups

Mixture A:

y = 5/4x

10 = 5/4x

x = 10 ÷ 5/4

= 10 × 4/5

= 40/5

x = 8

Mixture A salt = 8 teaspoons

Mixture B:

y = 2.5x

10 = 2.5x

x = 10 / 2.5

= 4

x = 4

Mixture B salt = 4 teaspoons

Mixture A use more salt

Mixture A uses 4 teaspoons more of salt than mixture B

Mixture A tastes saltier because it uses more teaspoons of salt for the same cups of water than mixture B