Proportional relationship are used to represent direct variations.
The equation that represents the proportional relationship is [tex]y = \frac{28}{17}x[/tex]
How to determine the equation
From the question,
When x = 34, y = 56
So, the proportionality constant (k) is calculated as:
[tex]k = \frac yx[/tex]
This gives
[tex]k = \frac {56}{34}[/tex]
Reduce the fraction
[tex]k = \frac {28}{17}[/tex]
The proportional relationship is then calculated as:
[tex]y = kx[/tex]
This gives
[tex]y = \frac{28}{17}x[/tex]
Hence, the equation that represents the proportional relationship is [tex]y = \frac{28}{17}x[/tex]
Read more about proportional relationships at:
https://brainly.com/question/12242745
