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

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