Question

which is not exponetial

x y
0 64
1 6
2 18
3 54
4 162

x y

-2 40
-1 20
0 10
1 5
2 2.5


x y
-2 1.5
-1 3.5
0 5.5
1 7.5
2 9.5

Answer 1

To determine which set of (x, y) data points does not represent an exponential relationship, we can look for patterns in the y values as x increases.

1. **First dataset:**
```
x y
0 64
1 6
2 18
3 54
4 162
```
This dataset does not appear to follow the exponential growth pattern; the values do not grow by a constant factor.

2. **Second dataset:**
```
x y
-2 40
-1 20
0 10
1 5
2 2.5
```
This dataset shows a consistent pattern where y is halved as x increases by 1. This indicates an exponential decrease.

3. **Third dataset:**
```
x y
-2 1.5
-1 3.5
0 5.5
1 7.5
2 9.5
```
This dataset shows a linear pattern. The difference between successive y values is constant (2), indicating a linear relationship, not exponential.

### Conclusion
The first and third datasets do not represent an exponential relationship. However, the third dataset has the clearest linear relationship. Thus, the **third dataset** is not exponential.