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29 August, 00:33

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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  1. 29 August, 01:02
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    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.
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