Subjects algebra

Percentage Change Fe2417

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1. The problem asks us to classify each expression as either a percentage increase of 15% or a percentage decrease of 15% for an item costing $p$ dollars. 2. A percentage increase of 15% means the new price is $p + 0.15p = 1.15p$. 3. A percentage decrease of 15% means the new price is $p - 0.15p = 0.85p$. 4. Now, classify each expression: - $0.85p$ corresponds to a 15% decrease. - $(p + 0.15p)$ simplifies to $1.15p$, which corresponds to a 15% increase. - $1.15p$ corresponds to a 15% increase. 5. Therefore, the correct classifications are: - Percentage Increase of 15%: (C), (E) - Percentage Decrease of 15%: (A) 6. The letters corresponding to the expressions are: - $0.85p$: (A) and (B) but only (A) is decrease. - $(p + 0.15p)$: (C) and (D) but only (C) is increase. - $1.15p$: (E) and (F) but only (E) is increase. 7. Final answer: A, C, E