Look at the table and choose “true” or “false”. (5 points) True False This table shows a linear relationship. True – This table shows a linear relationship. False – This table shows a linear relationship. This table represents a function. True – This table represents a function. False – This table represents a function. This table shows an increasing relationship. True – This table shows an increasing relationship. False – This table shows an increasing relationship. This table shows a constant rate of change. True – This table shows a constant rate of change. False – This table shows a constant rate of change. This table shows a proportional relationship. True – This table shows a proportional relationship. False – This table shows a proportional relationship.
3 answers
x_____|____ y
1_____|____1
2_____|____4
3_____|____9
4_____|____16
5_____|____25
1. True - This table shows a linear relationship. The values of y increase by a constant amount (1, 4, 9, 16, 25) as the values of x increase by a constant amount (1, 2, 3, 4, 5).
2. True - This table represents a function. Each x-value is paired with exactly one y-value, and there are no repeated x-values.
3. True - This table shows an increasing relationship. As the values of x increase, the values of y also increase.
4. False - This table does not show a constant rate of change. The values of y do not increase by the same constant amount as the values of x increase.
5. True - This table shows a proportional relationship. The values of y are obtained by squaring the corresponding values of x (1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25).