Look at the table and choose “true” or “false”.

Question

​​​​​​​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