The expression 0.75(1.08p) represents the total amount Amelia paid for a jacket originally priced p dollars. Which changes to the original price could have resulted in this expression?A discount of 25% and then 0.08% sales taxA discount of 25% and then 108% sales taxA discount of 25% and then 8% sales taxA discount of 0.25% and then 108% sales tax
Q. The expression 0.75(1.08p) represents the total amount Amelia paid for a jacket originally priced p dollars. Which changes to the original price could have resulted in this expression?A discount of 25% and then 0.08% sales taxA discount of 25% and then 108% sales taxA discount of 25% and then 8% sales taxA discount of 0.25% and then 108% sales tax
Interpret Expression: Understand the expression 0.75(1.08p). The expression can be interpreted as taking 75% of some amount (which is the same as a 25% discount), and then increasing that result by 8% (which could represent a sales tax).
Break Down Parts: Break down the expression into two parts.The first part is 0.75, which represents a 75% portion of the original price, p. This implies that the original price has been reduced by 25% because 100%−75%=25%.
Analyze Increase: Analyze the second part of the expression, which is 1.08. This represents an increase of the amount after the discount by 8%. This is typically how sales tax is applied, as a percentage increase on the price after discounts.
Compare to Options: Compare the expression to the given options.The expression 0.75(1.08p) matches the scenario where there is a discount of 25% followed by an 8% sales tax. This corresponds to option C: "A discount of 25% and then 8% sales tax."
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