Atrain locomotive can pull a maximum cargo weight of 75000 pounds. a company uses train transportation to ship 5000-pound containers on the train. the total cargo weight, f is a function of the number of containers on the train, x. write this function rule an find the greatest value in the domain for this situation

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.