Question

A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 8 x − 40. F(x)=8x−40. Find and interpret the given function values and determine an appropriate domain for the function.

Answer 1

Answer:

Domain = [0, ∞).

Step-by-step explanation:

he profit, in dollars, when the company sells x shirts can be found using the function

$f(x)=8x-40$

For x=0,

$f(0)=8(0)-40=-40$

It means, if company sells 0 shirts, then company makes loss (because of negative sign) of $40.

For x=5,

$f(5)=8(5)-40=0$

It means, if company sells 5 shirts, then company makes profit of $0 means no loss no profit.

For x=10,

$f(10)=8(10)-40=40$

It means, if company sells 10 shirts, then company makes profit of $40.

Domain is the set of input values.

We know that number of shirts can not be negative, therefore the value of x is always greater than or equal to 0.

Domain = [0, ∞).

Therefore, the domain for the function is [0, ∞).