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21 November, 06:15

The number of ferryboat trips r (c) needed to transport c cars in 1 day can be found using the function f (c) = c/20. If there are no more than 5,000 cars transported by ferryboat daily what is the range of the function

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  1. 21 November, 06:39
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    The range is f (c) ≤ 250

    Step-by-step explanation:

    * The meaning of function

    - It is a relation between to variables

    - One of them is the input called the domain of the function

    - The other is the output and called the range of the function

    ∵ f (x) = y

    ∴ The values of x are the domain of the function

    ∴ The values of y are the range of the function

    * Lets look to the problem

    - We have the relation between the ferryboat and the number

    of the cars transported daily

    - The greatest number of cars transported daily is 5000

    - The domain of f (c) is c ≤ 5000

    ∵ c = 5000

    ∵ f (c) = c/20

    ∴ f (c) = 5000/20 = 250

    - The range of the function is f (c)

    - The maximum value of f (c) is 250

    ∴ The range is f (c) ≤ 250
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