Answer:
Step-by-step explanation:
Given the expressions :
The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent.
Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent.
Let the original price = x
Expression 1 : The list price of the item is 80 percent of the original price
List price = 80% of x
List price = 0.8x
Expression 2: The price of the item has been reduced by 80 percent
Price = x - 80% of x
Price = x - 0.8x
Price = 0.2x
Multiply by percentages is different from an Incremental or decrement in percentage. The first expression above signifies a direct multiplication by the stated percentage while the second signifies a decrease in price based on a certain percentage of the original price.
Wording of percentages are so important for clarity in other to understand if the statement signifies a direct application of the percentage prescribed or a change in quantity, amount or size relative to the base unit.
