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, of, x, equals, 6, x, minus, 70, .f(x)=6x−70. Find and interpret the given function values and determine an appropriate domain for the function.
f(12)= blank*, meaning if the company sells blank* shirts, they would make a profit of blank* dollars. This interpretation
-makes sense
-does NOT make sense
in the context of the problem.
To find the value of f(12), we substitute x=12 into the function f(x)=6x−70:
f(12) = 6(12) - 70
f(12) = 72 - 70
f(12) = 2
Therefore, f(12) = 2, meaning if the company sells 12 shirts, they would make a profit of $2.
This interpretation makes sense in the context of the problem, as it aligns with the idea that the profit depends on the number of shirts sold.
The appropriate domain for the function f(x)=6x−70 is all real numbers x such that x ≥ 0. This is because the number of shirts sold must be a non-negative quantity, as negative numbers of shirts sold do not make sense in this context.