Question

Look at the table and choose “true” or “false”.
​​​​​​​1 | 1
2 | 4
3 | 9
4 | 16
5 | 25

True or False
This table shows a constant rate of change. :

This table shows an increasing relationship. :

This table shows a proportional relationship. :

This table represents a function. :

This table shows a linear relationship. :

Answer it (CORRECTLY)

Answer 1

Let's analyze the statements one by one based on the provided table:

1. **This table shows a constant rate of change.**:
- **False**. The differences between the y-values (1, 4, 9, 16, 25) are not constant; they are increasing (3, 5, 7, 9). The rate of change is not the same between points.

2. **This table shows an increasing relationship.**:
- **True**. As the x-values increase (1, 2, 3, 4, 5), the y-values (1, 4, 9, 16, 25) also increase.

3. **This table shows a proportional relationship.**:
- **False**. A proportional relationship would mean the ratio of y to x is constant, which is not the case here (for example, 4/2 = 2 but 9/3 = 3).

4. **This table represents a function.**:
- **True**. Each x-value maps to exactly one y-value, which satisfies the definition of a function.

5. **This table shows a linear relationship.**:
- **False**. A linear relationship would have a constant rate of change, which is not the case here; the relationship represented is actually quadratic (y = x^2).

So, the answers are:
1. False
2. True
3. False
4. True
5. False