Final answer:
None of the provided options a, b, c, or d accurately represent the algebraic expression 3x + 4, as they all differ either in the variables used, the operations involved, or the constants.
Step-by-step explanation:
The algebraic expression 3x + 4 is best represented by the phrase 'three times a number x plus four.' To match an expression to a phrase, we need to look for the equivalent terms and operations. In this case, none of the provided phrases exactly match the expression 3x + 4
- a. 3y - 15 is not equivalent because it involves subtraction and uses 'y' instead of 'x'.
- b. 3(y - 15) uses parentheses, indicating multiplication, and subtracts 15 inside the parentheses, which is not present in 3x + 4.
- c. 15 - 3y has subtraction as the main operation, which does not correspond to the addition in 3x + 4.
- d. 15 + 3y involves the correct operation (addition) but uses 'y' instead of 'x', and the constant term is 15 instead of 4.
Therefore, none of the options provided a. through d. represent the algebraic expression 3x + 4.