Maximum number of pounds a train locomotive can pull = 75000 pounds.
Weight of a container = 5000 pounds.
Let us assume umber of containers on the train = x container.
Total weight of x containers at the rate 5000 pound each = 5000*x = 5000x.
Therefore, we can setup a function f as.
f(containers on the train) = x containers * 5000 pound each
f(x) = 5000x.
We know, the maximum number of pounds a train locomotive can pull = 75000 pounds.
Therefore, the number of containers on the train can be expressed by inequality.
5000x ≤ 75000.
Dividing both sides by 5000, we get
x ≤ 15.
Therefore, number of the number of containers on the train can be loaded 0 to 15 container.
Therefore, the greatest value in the domain for this situation is 15.
