The table shows how much a carpenter charges for work. Is the relationship shown by the data in the table linear? Explain your answer.
In order to determine whether the relationship shown by the data in the table is linear, we need to assess whether there is a constant rate of change between the values.
The table is not provided in the question, so we cannot directly analyze the data. However, we can outline the steps to determine if the relationship is linear based on the given information.
To determine linearity, we need to examine the change in values over these three factors:
1. Independent variable: The table should show the independent variable, such as the number of hours worked, the distance traveled, or the quantity of items produced. This is the factor that the carpenter is charging for.
2. Dependent variable: The table should also provide the corresponding dependent variable, such as the cost charged by the carpenter for the work. This is the factor that is influenced by the independent variable.
3. Rate of change: Finally, we need to analyze the rate of change between the independent and dependent variables. If there is a constant rate of change, meaning that the dependent variable changes in a consistent manner for each unit increase in the independent variable, then the relationship can be considered linear.
Without the table or information regarding these factors, it is not possible to determine whether the relationship shown by the data in the table is linear. Please provide the table or further details to assess linearity accurately.