Answer:
{(15, 2988.5), (21, 2670.5), (27, 2352.5), (33, 2034.5)}
Explanation:
Let's analyze both sets of ordered pairs:
Set 1: {(0, 3600), (4, 3526), (8, 3353.5), (12, 3147.5)}
The x-values in this set increase by a constant amount of 4: 0, 4, 8, 12.
Now let's examine the corresponding y-values:
3600, 3526, 3353.5, 3147.5
To determine the rate of change between the y-values, we subtract consecutive pairs:
3526 - 3600 = -74
3353.5 - 3526 = -172.5
3147.5 - 3353.5 = -206
The y-values in this set decrease, but the rate of change is not constant. The differences between consecutive y-values are not the same, indicating that the relation is not linear.
Set 2: {(15, 2988.5), (21, 2670.5), (27, 2352.5), (33, 2034.5)}
The x-values in this set also increase by a constant amount of 6: 15, 21, 27, 33.
Now let's examine the corresponding y-values:
2988.5, 2670.5, 2352.5, 2034.5
Again, we calculate the differences between consecutive y-values:
2670.5 - 2988.5 = -318
2352.5 - 2670.5 = -318
2034.5 - 2352.5 = -318
In this set, the y-values decrease by a constant rate of 318. The rate of change between consecutive y-values is the same, indicating that the relation is linear.
Therefore, the set of ordered pairs {(15, 2988.5), (21, 2670.5), (27, 2352.5), (33, 2034.5)} represents a linear relation.