Question

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)

Answer 1

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

Explanation:

Answer 2

(5,10)

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.