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.
I'm sorry, but you haven't provided a table for me to analyze and determine whether the statements are true or false. Can you please provide the table or any additional information needed for me to answer the statements?
heres the table
x_____|____ y
1_____|____1
2_____|____4
3_____|____9
4_____|____16
5_____|____25
Based on the given table:
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).
To determine whether the given statements are true or false regarding the table, we need to understand the concepts they refer to.
1. "This table shows a linear relationship."
To determine if a table shows a linear relationship, we need to check if the data points form a straight line when plotted on a graph. Look at the table and plot the points on a graph. If the points lie on a straight line, then the statement is true; otherwise, it is false.
2. "This table represents a function."
A function is a relation in which each input has exactly one output. If each value in the input column corresponds to only one value in the output column, then the table represents a function, and the statement is true. Otherwise, if there are input values with multiple corresponding output values, the statement is false.
3. "This table shows an increasing relationship."
To determine if the table exhibits an increasing relationship, look at the values in the output column. If the values are increasing as the input increases, then the statement is true. If the values are not consistently increasing, the statement is false.
4. "This table shows a constant rate of change."
To ascertain if the table demonstrates a constant rate of change, examine the differences between consecutive output values. If these differences remain the same or are constant throughout the table, then the statement is true. If the differences vary, the statement is false.
5. "This table shows a proportional relationship."
A proportional relationship implies that there is a constant ratio between the values in the input and output columns. Calculate the ratio of consecutive output values and check if it is the same throughout the table. If the ratio remains constant, the statement is true. If the ratio varies, the statement is false.
By following these guidelines and analyzing the given table, you will be able to determine the true or false nature of each statement.