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.

3 answers

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!

are any of them false?

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!

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