Answer:
The table represents a proportional relationship
Step-by-step explanation:
Given
x ------ y
1 ------- 15
2 --------30
4 ---------60
5 -------- 75
Required
Determine if the table shows a proportional relationship
To check this, we make use of the following formula;
[tex]k = \frac{y}{x}[/tex]
Where k is the proportionality constant
When x = 1, y = 15
[tex]k = \frac{15}{1} = 15[/tex]
When x = 2, y = 30
[tex]k = \frac{30}{2} = 15[/tex]
When x = 4, y = 60
[tex]k = \frac{60}{4} = 15[/tex]
When x = 5, y = 75
[tex]k = \frac{75}{5} = 15[/tex]
Since the value of k for all values of x and y is the same; i.e. 15
Then, the table represents a proportional relationship
