Question

The table below shows the values of y for different values of x:

x y
0
0
1
5
2
10
3
15


Which equation shows the relationship between x and y?
x = 5y
y = 5 + x
x = 5 + y
y = 5x

Answer 1

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 2

D.
`y=5x`

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:

`y=5x+0`

`y=5x`

Therefore, our required equation is
`y=5x` and option D is the correct choice.