Question

What equation represents the proportional relationship displayed in the table?

x 0 4 7 8
y 0 24 42 48
Enter your answer in the box to complete the equation.

y =
x

Answer 1

`y=6x`

Explanation:

Given:

The table is given as:

x 0 4 7 8

y 0 24 42 48

The relationship between 'x' and 'y' is a proportional relationship.

A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and
`k\\e 0`

A proportional relationship is given as:

`y=kx`

Now, we plug in 'x' and 'y' values and find the value of 'k'.

Let
`x=4\ and\ y=24`

`24=k* 4\\\\k=(24)/(4)=6`

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

`y=6x`