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 xx shirts can be found using the function f(x)=8x-50.F(x)=8x−50. Find and interpret the given function values and determine an appropriate domain for the function. F(-2)=f(−2)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. F(6)=f(6)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. F(9.5)=f(9.5)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is .

Answer 1

Meaning: If the company sells -2 shirt, they would make a profit of -66 dollars. This interpretation of loss in the context of the problem.

Meaning: If the company sells 6- shirt, they would make a profit of -2 dollars. This interpretation of loss in the context of the problem.

Meaning: If the company sells 9.5shirt, they would make a profit of 26 dollars. This interpretation of profit in the context of the problem.

R(all real numbers)

Explanation:

We are given that the profit in dollars when the company sells x shirt is given by

f(x)=8x-50

Substitute x=-2

`f(-2)=8(-2)-50=-66`

Meaning: If the company sells -2 shirt, they would make a profit of -66 dollars. This interpretation of loss in the context of the problem.

f(6)=8(6)-50=-2

Meaning: If the company sells 6- shirt, they would make a profit of -2 dollars. This interpretation of loss in the context of the problem.

f(9.5)=8(9.5)-50=26

Meaning: If the company sells 9.5shirt, they would make a profit of 26 dollars. This interpretation of profit in the context of the problem.

The given function is linear function. Therefore, the domain of the function is R(all real numbers).