Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x -----> the amounts of ammonia in ml
y -----> the amounts of distilled water in ml
In this problem the relationship between variables, x, and y, represent a proportional variation
The constant of proportionality k is equal to
see the table
For x=2, y=100 ----> ![k=\frac{100}{2}=50](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B100%7D%7B2%7D%3D50)
For x=5, y=250 ----> ![k=\frac{250}{5}=50](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B250%7D%7B5%7D%3D50)
The linear equation is equal to
![y=50x](https://tex.z-dn.net/?f=y%3D50x)
Complete the values in the table
For x=3 -----> ![y=50(3)=150\ mL](https://tex.z-dn.net/?f=y%3D50%283%29%3D150%5C%20mL)
For x=3.5 -----> ![y=50(3.5)=175\ mL](https://tex.z-dn.net/?f=y%3D50%283.5%29%3D175%5C%20mL)
For y=200 ---->
----> ![x=200/50=4\ mL](https://tex.z-dn.net/?f=x%3D200%2F50%3D4%5C%20mL)
we have the point (2.5,125)
That means ----> There are 2,5 mL of ammonia and 125 mL of distilled water
The ratio of the y-coordinate to the x-coordinate is equal to the constant of proportionality k or slope of the linear equation
so
![k=\frac{125}{2.5}=50](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B125%7D%7B2.5%7D%3D50)