Respuesta :
The function that represents the relationship between x and y is (y = 4x) and this can be determined by using the given data.
Given :
- The value of 'y' varies directly with 'x'.
- If y = 14 when x = 7/2.
The following steps can be used in order to determine the function that represents the relationship between x and y:
Step 1 - According to the given data, the value of 'y' varies directly with 'x'. So, the mathematical expression for this situation is:
[tex]y \; \alpha \; x[/tex]
y = kx --- (1)
Step 2 - It is also given that the value of y = 14 when x = 7/2.
Step 3 - Now, substitute the value of 'y' and 'x' in the above expression.
[tex]\rm 14=\dfrac{7}{2}\times K\\[/tex]
K = 4
Step 4 - Now, substitute the value of K in the expression (1).
y = 4x
For more information, refer to the link given below:
https://brainly.com/question/12917806
