Question

A fisherman's production is modeled by function f(x), where f(x) is the number of fish caught per outing and x is the number of people fishing on the boat. Choose the ordered pair that represents a possible domain and range of the function. (nineteen thirds, 15)

(22, 65)
(twenty two fifths, forty three sevenths)
(10, one hundred elevenths)

Answer 1

(22 , 65) represents a possible domain and range of the function

Explanation:

- A fisherman's production is modeled by function f(x)

- The function f(x) is the number of fish caught per outing

- x is the number of people fishing on the boat

- We need to deiced which ordered pair represents a possible domain

and range of the function

∵ The domain of the function is the values of x which represent the

number of people fishing on the boat

∵ The range of the function is the values of f(x) which represent the

number of fish caught

- We must know that the number of fish caught must be a whole

number and also the number of people fishing must be a

whole number

∴ x must be a whole number and f(x) must be a whole number

∵ f(x) = y

∵ The ordered pairs are:

- (nineteen thirds, 15) =
`((19)/(3),15)`

- (22 , 65)

- (twenty two fifths, forty three sevenths) =
`((22)/(5),(43)/(7))`

- (10, one hundred elevenths) =
`(10,(100)/(11))`

∵ The only ordered pair (22 , 65) has whole numbers represent x and y

∴ (22 , 65) represents a possible domain and range of the function