Question

Study the graph below.

Coordinate plane with x-axis labeled as quantity A and the y-axis labeled as quantity B. Graph contains a line that passes through the following points: (0, 0), (3, 4) and (6, 8).



Describe the functional relationship between the two quantities in the graph.

Answer 1

`B=(4)/(3)A`

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

In this problem we have a proportional relationship because the line passes through the origin (0,0)

Find the value of k

`k=(B)/(A)`

take the point (3,4)

A=3,B=4

substitute

`k=(4)/(3)`

The equation of the line is

`B=(4)/(3)A`