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(17.5)= 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.
f(17.5) = 6(17.5) - 70 = 105 - 70 = 35
f(17.5) = 35, meaning if the company sells 17.5 shirts, they would make a profit of $35. This interpretation makes sense in the context of the problem because it is a valid result based on the given function.
The appropriate domain for the function is the set of all real numbers greater than or equal to 0, since the company cannot sell a negative number of shirts.