Respuesta :

x y
0 0
1  5
2 10
3 15

The answer is y = 5x
we can check this by plugging in the numbers from the table:
5 = 1(5)
5 = 5
This makes this answer correct because it makes the equation true.

Answer:

D. [tex]y=5x[/tex]

Step-by-step explanation:

We have been given a table of values. We are asked to find the equation that shows the relationship between x and y.

x          y

0         0

1           5

2         10

3         15

Upon looking at our given table, we can see that with each increase in x value, the value of x increases by 5. This means that slope of our given line is 5.

We can also see that initial value or y-intercept is 0.

Upon substituting our given values in slope intercept form of equation, we will get:

[tex]y=5x+0[/tex]

[tex]y=5x[/tex]

Therefore, our required equation is [tex]y=5x[/tex] and option D is the correct choice.