a train 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

Question

Mathematics

Damien Kidd

19 June, 02:28

a train 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

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Brewer · Answer 1

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.