Question

The following graph shows a proportional relationship.

What is the constant of proportionality between y and x in the graph?

Constant of proportionality =
please help!!!

Answer 1

2

Explanation:

If we look at the graph this is an increasing graph where y increases with respect to x so in other words we can say that y is directly proportional to x.

`y\ \alpha\ x\\`

and when we remove the proportionality sign we replace it with an equal to sign and a constant. So it becomes ,

`y = kx\\`

now to find the Constant of proportionality which is k we can use any ordered pair(coordinate/point) from the graph,

Lets take ( 2 , 4) where 2 represents the value of x on the x-axis and 4 represents the value of y on the y-axis so now,

`y=kx\\(4)=k(2)\\4=2k\\4/2=k\\k=2\\`

so the constant of proportionality is 2