The correct answer is B.
In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. Only the correct function rule will yield the corresponding x-value.
Let's prove that option B is the correct one
FUNCTION B y= 5x - 14
- If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 CORRECT
- If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 CORRECT
- If x= 2 --> 5(2) - 14= 10-14= -4, therefore y= -4 CORRECT
- If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6 CORRECT
- If x= 7 --> 5(7) -14= 35-14= 21, therefore y=21 CORRECT
