Subjects algebra

Percentage Classification Abac9B

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1. The problem asks 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: - $0.85p$ is a decrease of 15% because it equals $p - 0.15p$. - $(p + 0.15p)$ simplifies to $1.15p$, which is an increase of 15%. - $1.15p$ is already the expression for a 15% increase. 5. Therefore, the correct classification is: - Percentage Increase of 15%: Ⓒ, Ⓔ - Percentage Decrease of 15%: Ⓐ 6. The answer is: "Ⓐ,Ⓒ,Ⓔ"