To determine the reasonable values for the domain of the function y=f(x)=18x+19, we consider the context of the problem. Values such as x=0, x=4, and x=1/2 are reasonable since they represent the possibility of producing a small number of calculators or half a calculator. However, x=20 may not be as reasonable since it represents producing a very large number of calculators.
- To determine which values of x are reasonable to include in the domain of the function y=f(x)=18x+19, we need to consider the context of the problem.
- The function models the weekly cost, in dollars, of producing x scientific calculators at a factory.
- Since the number of calculators produced cannot be negative, we can eliminate the option E, x=-1, from the domain.
- Additionally, the domain should include all possible values of x that Ms. Hunter could use to model the cost.
- Both options A, x=0, and C, x=4, are reasonable values since she could produce zero calculators or a small number such as four.
- Option D, x=1/2, is also reasonable as it represents the possibility of producing half a calculator.
- However, option B, x=20, may not be as reasonable since it represents producing a very large number of calculators, which might not be practical in a factory setting.
Question:
The function y=f(x)=18x+19 is graphed below.
Ms. Hunter uses this function to model the weekly cost, in dollars, of producing x scientific calculators at a factory.
Select ALL the values of x that are reasonable for Ms. Hunter to include in the domain of her function.
A. x=0
B. x=20
C. x=4
D. x= 1/2
E. x=-1