Question

Which table of values represents y = 2x?

Responses

x y
0 2
1 3
2 4
3 5
4 6
5 7
x y 0 2 1 3 2 4 3 5 4 6 5 7

x y
0 20
1 21
2 22
3 23
4 24
5 25
x y 0 20 1 21 2 22 3 23 4 24 5 25

x y
0 0
1 2
2 4
3 6
4 8
5 10
x y 0 0 1 2 2 4 3 6 4 8 5 10

x y
0 0
1 1
2 4
3 9
4 16
5 25
x y 0 0 1 1 2 4 3 9 4 16 5 25

Answer 1

To determine which table of values represents the equation \( y = 2x \), we need to calculate the value of \( y \) for each corresponding \( x \) using the equation.

1. For \( x = 0 \) : \( y = 2(0) = 0 \)
2. For \( x = 1 \) : \( y = 2(1) = 2 \)
3. For \( x = 2 \) : \( y = 2(2) = 4 \)
4. For \( x = 3 \) : \( y = 2(3) = 6 \)
5. For \( x = 4 \) : \( y = 2(4) = 8 \)
6. For \( x = 5 \) : \( y = 2(5) = 10 \)

Now, we can compare these values with the given tables:

**First table:**
```
x y
0 2
1 3
2 4
3 5
4 6
5 7
```
**Second table:**
```
x y
0 20
1 21
2 22
3 23
4 24
5 25
```
**Third table:**
```
x y
0 0
1 2
2 4
3 6
4 8
5 10
```
**Fourth table:**
```
x y
0 0
1 1
2 4
3 9
4 16
5 25
```

The third table correctly represents \( y = 2x \):
```
x y
0 0
1 2
2 4
3 6
4 8
5 10
```

Thus, the table of values that represents \( y = 2x \) is the third one.