A factory's production is modeled by function f (x), where f (x) is the number of parts produced per hour and x is the number of people working during production. Choose the ordered pair that represents a possible domain and range of the function.

(-1, 15)

(5, - 50)

(-10, - 100)

(5, 10)

(5,10)

Step-by-step explanation:

We are given that a factory's production is modeled by function f (x).

Where f (x) = Number of parts produced per hour

x=Number of people working during production

We have to choose an ordered pair that represents a possible domain and range of the function.

x is the number of people working during production. It is always positive because time can not be negative.

f (x) is the number of parts produced per hour. It is always positive because quantity of any number cannot be negative. It is always positive.

In first option (-1,15)

x=-1, f (x) = 15

x is negative which is not possible.

So, it is false.

In option b (5,-50)

x=5, f (x) = -50

Range is negative which is not possible.

So, it is false.

In option C (-10,-100)

x=-10, f (x) = -100

x and f (x) are both negative therefore, it is false.

In option D (5,10)

x=5, f (x) = 10

x and f (x) are both positive.

So, it is possible ordered pair.

Hence, ordered pair (5,10) in which 5 represent a possible domain and 10 represent the possible range.

Answer: (5,10) because you can't have a negative in people or in parts