Question

The point (2.5, 125) is on the graph but not in the table. The ratio of the y-coordinate to the x-coordinate

Answer 1

see the explanation

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
`k=(y)/(x)` or
`y=kx`

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=(100)/(2)=50`

For x=5, y=250 ---->
`k=(250)/(5)=50`

The linear equation is equal to

`y=50x`

Complete the values in the table

For x=3 ----->
`y=50(3)=150\ mL`

For x=3.5 ----->
`y=50(3.5)=175\ mL`

For y=200 ---->
`200=50x` ---->
`x=200/50=4\ mL`

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=(125)/(2.5)=50`