Question

If anyone is available please help me or comment it'll be helpful

Answer 1

To determine which mixture will use more salt, you have to calculate the salt-water ratio for both mixtures and compare them.

For mixture A

To calculate the ratio you have to do as follows:

`m=(8.72-5)/(7-4)=(5)/(4)=1.25`

We can express the relationship between the amount of water and the amount of salt as:

`y=1.25x`

y represents the number of cups of water and x represents the number of teaspoons of salt.

The calculated value 1.25 indicates that for every teaspoon of salt there is 1.25cups of water.

to determine how much salt there will be in 10 cups of water for mixture A, you have to calculate the value of x for y=10 using the equation:

`\begin{gathered} y=1.25x \\ 10=1.25x \\ x=(10)/(1.25) \\ x=8 \end{gathered}`

For mixture A, there will be 8 teaspoons of salt for 10 cups of water.

Mixture B

The relationship between the cups of water and teaspoons of salt is given by the equation:

`y=2.5x`

The coeficient that multiplies the x term indicates that for every teaspoon of salt, the mix has 2.5 cups of water. To determine the amount of salt for 10 cups of water you have to replace the formula for y=10 and calculate x:

`\begin{gathered} y=2.5x \\ 10=2.5x \\ x=(10)/(2.5) \\ x=4 \end{gathered}`

This indicates that for every 10 cups of water, mixture B has 4 teaspoons of salt.

Mixture A uses more salt than mixture B.