For which table(s) of values in Exercises 39–42 is the relationship

linear? Tell how you decided. Write the equation for each linear
relationship.

x 5 10 15 20 25 30
y 20 30 40 50 50 50

I understand this is not linear function but what is it asking me to do next.

change in y/change in x = constant slope if linear

(30-20)/(10-5) =2

(50-50) /(30-25) = 0 which is not 2

Thank you so much

The question is asking you to determine whether the relationship between the values of 'x' and 'y' in the given table is linear or not. If the relationship is linear, you need to write the equation for that linear relationship.

To determine if the relationship is linear, you can use the following steps:

1. Plot the points on a graph with the 'x' values on the horizontal axis and the 'y' values on the vertical axis.
2. Connect the points on the graph and observe if the resulting line is straight or if it curves.
3. If the line connecting the points is straight, it means the relationship is linear. If the line curves or doesn't follow a straight pattern, then the relationship is not linear.

In the given table, you can plot the points (5, 20), (10, 30), (15, 40), (20, 50), (25, 50), and (30, 50) on a graph.

Upon plotting these points, you will notice that the points do not form a straight line. Instead, the points form a curve. Therefore, the relationship between the values of 'x' and 'y' in this table is not linear.

Since the relationship is not linear, there is no equation to write for a linear relationship.