Question

Look at the table and choose “true” or “false”. ​​​​​​​ (5 points) True False
answer choices:This table shows an increasing relationship. This table shows a linear relationship. This table represents a function. This table shows a constant rate of change. This table shows a proportional relationship.

Answer 1

are any of them false?

Answer 2

To determine whether each statement about a table is true or false, I would need to see the table itself. However, I can provide you with guidelines to assess each statement based on the characteristics of the data:

1. **This table shows an increasing relationship.**
- **True** if the values in one column consistently increase as the values in the other column increase.

2. **This table shows a linear relationship.**
- **True** if the relationship can be represented by a straight line when graphed (i.e., constant rate of change).

3. **This table represents a function.**
- **True** if each input (x) has exactly one output (y).

4. **This table shows a constant rate of change.**
- **True** if the change in the dependent variable (y) is consistent for each unit change in the independent variable (x).

5. **This table shows a proportional relationship.**
- **True** if the ratio of y to x is constant and the table passes through the origin (0,0).

If you can provide the actual table or data, I would be able to help determine the truth of each statement!

Answer 3

Without the actual data from the table, I can't definitively say which statements are true or false. However, I can clarify how each statement might turn out to be false based on typical characteristics:

1. **This table shows an increasing relationship.** - **False** if the values do not consistently increase; they may decrease or remain constant at some points.

2. **This table shows a linear relationship.** - **False** if the relationship does not form a straight line when graphed (for example, if it has a curve).

3. **This table represents a function.** - **False** if any input value corresponds to multiple output values.

4. **This table shows a constant rate of change.** - **False** if the change in the dependent variable is not consistent for each unit change in the independent variable.

5. **This table shows a proportional relationship.** - **False** if the ratio of y to x is not constant or if it does not pass through the origin (0,0).

If you can describe the values or patterns in the table, I would be able to help you determine which statements might be false!