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Which of the following represents that y decreased by 35% is the same as 0.65 times y?

A. y\0.35y=0.65y
B. y-0.35y = 0.65y
c. y-0.65y=0.35y
D. y+0.35y=0.65y

1 Answer

3 votes

Final answer:

The correct equation representing that y decreased by 35% is the same as 0.65 times y is option B: y - 0.35y = 0.65y.

Step-by-step explanation:

The question is asking to identify which option correctly represents that a decrease of 35% in y is equivalent to multiplying y by 0.65. When a quantity is decreased by a certain percentage, that means we subtract the percentage from the original quantity. Mathematically, a decrease of 35% from y can be expressed as y minus 35% of y, or y - 0.35y. Simplifying this, we get 0.65y.

Therefore, the correct equation that represents a 35% decrease in y is equal to 0.65 times y is:
B. y - 0.35y = 0.65y

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