MATH SOLVE

2 months ago

Q:
# 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)

Accepted Solution

A:

Answer:(22 , 65) represents a possible domain and range of the functionStep-by-step 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) = [tex](\frac{19}{3},15)[/tex]- (22 , 65)- (twenty two fifths, forty three sevenths) = [tex](\frac{22}{5},\frac{43}{7})[/tex]- (10, one hundred elevenths) = [tex](10,\frac{100}{11})[/tex]∵ The only ordered pair (22 , 65) has whole numbers represent x and y∴ (22 , 65) represents a possible domain and range of the function