Question

Identify the constant of proportionality in each graph and use it to write an expression in the form y = kx.

Answer 1

`k=0.625`

`y=0.625x`

Explanation:

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

Looking at the graph

take the point (4,2,5)

Find the value of the constant of proportionality k

`k=(y)/(x)`

For x=4, y=2.5

substitute the value of x and the value of y

`k=(2.5)/(4)=0.625`

The linear equation is

`y=0.625x`