Final answer:
The range of the function E = -S + 30 for the domain {1, 2, 3, 4} is {29, 28, 27, 26}, so the answer is (b) 26, 27, 28, 29. The independent variable is S, and the dependent variable is E.
Step-by-step explanation:
If the given domain is {1, 2, 3, 4}, we can find the range for the function E = -S + 30 by substituting the domain values into the function. This function represents the number of eggs, E, left in the carton after making S breakfast sandwiches. The values of the domain 'S' are the independent variable because they are the input or the cause, and the values of the range 'E' are the dependent variable because they are the output or the effect caused by 'S'.
- For S = 1, E = -1 + 30 = 29
- For S = 2, E = -2 + 30 = 28
- For S = 3, E = -3 + 30 = 27
- For S = 4, E = -4 + 30 = 26
The range corresponding to the domain {1, 2, 3, 4} is {29, 28, 27, 26}.
So the correct answer is (b) 26, 27, 28, 29.
Regarding the variables, since 'S' (number of sandwiches made) is the independent variable and 'E' (number of eggs left) is the dependent variable, the correct choice is (b) Independent Variable: S, Dependent Variable: E.