Final answer:
The expressions that represent a 12% decrease in the value x are C. 0.88x, F. x - 0.12x, and H. x - 12/100x, all of which indicate the original value subtracted by 12% of itself.
Step-by-step explanation:
The student's question is about representing a decrease of 12% on the value x. To express a 12% decrease, we subtract 12% of x from x. In algebraic terms, subtracting 12% (which is the same as 0.12 in decimal form) of x is represented by x - 0.12x, simplifying to 0.88x. Therefore, we can express a 12% decrease in two ways: x - 0.12x or directly as 0.88x since 1 - 0.12 = 0.88.
Considering the multiple-choice options provided, expressions that represent a decrease of 12% on the value x are:
- C. 0.88x: This directly shows the value of x after the 12% decrease.
- F. x - 0.12x: This is the original value minus 12% of it.
- H. x - : Which is the same as F after simplifying the fraction.