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

Answer: (22, 65)

Explanation:

Given : 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.

The given choices for ordered pair that represents a possible domain and range of the function are :

(x, f(x))=(nineteen thirds, 15) =
`((19)/(3),15)=(6.33333, 15)`

(x, f(x))=(22, 65)

(x, f(x))=(twenty two fifths, forty three sevenths)

=
`((22)/(5),\ (43)/(7))`
`=(4.4,\ 6.14285)`

(x, f(x))=(10, one hundred elevenths)=
`(10,(100)/(11))=(10,\ 9.090909)`

Since, the number of fishes or number of persons only represented by whole number (0,1,2,3,4,.......).

Thus, the required answer = (22, 65)

Answer 2

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

Explanation:

* Lets explain how to solve the problem

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

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

- x is the number of people fishing on the boat

- We want to chose the ordered pair that represents a possible

domain and range of the function

- The domain of the function is the value of x which makes the

function defined

- The range of the function is the value of y which corresponding to x

* Lets look to the ordered pairs to find the answer

∵ The domain is x and x represents the number of people fishing

in the boat

∴ x must be a whole number

∵ The range is f(x) means y, and y represents the number of fish

caught per outing

∴ y must be a whole number

∴ The ordered pair which represent the domain and the range must

have whole coordinates

∵ The ordered pair 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)

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