A factory that manufactures basketballs spends $3 on each basketball that it produces.

Which of the following describes the rate of cost growth at the factory?
A.linear
B.nonlinear
C.neither linear nor nonlinear
D.both linear and nonlinear

Respuesta :

Answer:

C. Neither linear nor non linear

Step-by-step explanation:

The company spends $3 on each basketball it produces, which means if the company produces [tex]b[/tex] basketballs, then the amount [tex]y[/tex] it would have spent is

[tex]y=3b[/tex].

Now, the rate of cost growth is the rate of change, or the derivative of the amount spent [tex]y[/tex]; therefore,

[tex]\dfrac{dy}{db} =\dfrac{d(3b)}{db} = 3 \dfrac{db}{db} =3[/tex]

which is a constant, which means the rate of cost growth is not increasing. Therefore, rate of cost growth at the factory is neither linear nor nonlinear.

Answer:

C

Step-by-step explanation: