the table shows how much a carpenter charges for work is the relationship shown buy the data in the table linear

Answer 1

To determine if the relationship shown by the data in the table is linear, we need to examine if there is a constant rate of change between the variables. Unfortunately, without the specific table it is not possible to provide a definite answer. Could you provide the table or specify the data points so a proper analysis can be done?

Answer 2

1 25
2 40
3 60
4 80

Answer 3

Let's examine the data points:

1. When the value of the independent variable (x) is 1, the dependent variable (y) is 25.
2. When the value of the independent variable (x) is 2, the dependent variable (y) is 40.
3. When the value of the independent variable (x) is 3, the dependent variable (y) is 60.
4. When the value of the independent variable (x) is 4, the dependent variable (y) is 80.

To determine if the relationship is linear, we need to check if there is a constant rate of change between the variables.

Let's calculate the differences in y-values:

40 - 25 = 15
60 - 40 = 20
80 - 60 = 20

The differences in the y-values are not constant. Therefore, we can conclude that the relationship shown by the data in the table is not linear.