Question

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

Answer 1

The range is f(c) ≤ 250

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