Question

The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?

A)
1
4
B) 2
C) 4
D) 8

Answer 1

C) 4

Explanation:

Given equation:

`2y=8x`

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

The equation representing proportional relationship is given by:

`y=kx`

where
`k` represents constant of proportionality.

So, in order to find the value of
`k` for the given proportionality relationship, we will solve for
`y`

We have:

`2y=8x`

Solving for
`y`

Dividing both sides by 2.

`(2y)/(2)=(8x)/(2)`

`y=4x`

∴
`k=4`

Thus, the constant of proportionality = 4.