Final answer:
Option c) 'A 30% discount is applied to an item priced at $2.50, resulting in a total of $57.50' is the situation NOT represented by the equation 2.50p + 30 = 57.50. This option misrepresents the equation as a 30% discount on a $2.50 item would not lead to a total cost of $57.50.
Step-by-step explanation:
The given equation is 2.50p + 30 = 57.50, which can represent different real-life scenarios involving cost, price, and discounts. Let's analyze each provided situation and identify which one is NOT accurately depicted by the equation.
- a) The total cost of 2.50 pounds of an item with a $30 discount is $57.50. This can be correct if 'p' represents the original price per pound of the item before the discount.
- b) A purchase of 2.50 items with a 30% discount results in a total of $57.50. This could also be represented by the equation if 'p' refers to the original price of one item before the 30% discount.
- c) A 30% discount is applied to an item priced at $2.50, resulting in a total of $57.50. This is incorrect because a 30% discount on a $2.50 item would not amount to $57.50. It appears this option misrepresents the equation.
- d) The total cost of 2.50 items is $57.50 with a $30 discount. If 'p' indicates the original price of each item before the discount, this is possible.
After comparing the situations with the equation, we can conclude that option c) is the one NOT accurately represented by the equation. A 30% discount on a single $2.50 item would simply not lead to a total cost of $57.50, as the discount amount is clearly far less than $30.