The Retail Price Of A Suit Is $d$ Dollars. Connor Bought The Suit With A $15 \%$ Discount. Which Expressions Correctly Represent The Price That Connor Paid For The Suit?Check All That Are True.- $0.85d$- $d - 0.15d$

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The Retail Price of a Suit: Understanding Discounts and Expressions

When it comes to purchasing a suit, discounts can significantly impact the final price. In this scenario, Connor bought a suit with a 15% discount. The retail price of the suit is dd dollars. We need to determine which expressions correctly represent the price that Connor paid for the suit.

A discount is a reduction in the original price of an item. In this case, the discount is 15% of the retail price. To find the amount of the discount, we multiply the retail price by the discount percentage.

Calculating the Discount

The discount percentage is 15%, which can be represented as 0.15 in decimal form. To find the amount of the discount, we multiply the retail price (dd) by the discount percentage (0.15).

Discount = 0.15d

Finding the Price Connor Paid

To find the price Connor paid for the suit, we need to subtract the discount from the retail price. This can be represented by the expression:

Price Connor Paid = Retail Price - Discount

Substituting the expression for the discount, we get:

Price Connor Paid = d - 0.15d

Simplifying the expression, we get:

Price Connor Paid = 0.85d

Evaluating the Expressions

Now that we have found the correct expression for the price Connor paid, let's evaluate the other options.

  • Option 1: 0.85d0.85d

    This expression is equivalent to the correct expression we derived earlier. It represents the price Connor paid for the suit after applying the 15% discount.

  • Option 2: d−0.15dd - 0.15d

    This expression is also equivalent to the correct expression we derived earlier. It represents the price Connor paid for the suit after subtracting the discount from the retail price.

In conclusion, the expressions 0.85d0.85d and d−0.15dd - 0.15d correctly represent the price that Connor paid for the suit. These expressions take into account the 15% discount applied to the retail price of the suit. By understanding discounts and how to calculate them, we can make informed purchasing decisions and ensure we get the best value for our money.

  • Discounts can significantly impact the final price of an item.
  • To find the amount of the discount, multiply the retail price by the discount percentage.
  • To find the price paid after a discount, subtract the discount from the retail price.
  • Expressions such as 0.85d0.85d and d−0.15dd - 0.15d can be used to represent the price paid after a discount.

Understanding discounts and how to calculate them is essential for making informed purchasing decisions. By taking the time to evaluate the price of an item and applying any applicable discounts, we can ensure we get the best value for our money. Whether you're buying a suit or any other item, being aware of discounts and how to calculate them can make a significant difference in your purchasing power.
The Retail Price of a Suit: Understanding Discounts and Expressions - Q&A

In our previous article, we explored the concept of discounts and how to calculate them. We also derived the expressions 0.85d0.85d and d−0.15dd - 0.15d to represent the price that Connor paid for the suit after applying a 15% discount. In this article, we will answer some frequently asked questions related to discounts and expressions.

Q1: What is a discount, and how is it calculated?

A1: A discount is a reduction in the original price of an item. To calculate the discount, multiply the retail price by the discount percentage. For example, if the retail price is dd and the discount percentage is 15%, the discount is calculated as:

Discount = 0.15d

Q2: How do I find the price paid after a discount?

A2: To find the price paid after a discount, subtract the discount from the retail price. This can be represented by the expression:

Price Paid = Retail Price - Discount

Substituting the expression for the discount, we get:

Price Paid = d - 0.15d

Simplifying the expression, we get:

Price Paid = 0.85d

Q3: What is the difference between 0.85d0.85d and d−0.15dd - 0.15d?

A3: Both expressions 0.85d0.85d and d−0.15dd - 0.15d represent the price paid after a 15% discount. However, 0.85d0.85d is a more concise and efficient way to represent the price paid, while d−0.15dd - 0.15d is a more explicit way to show the calculation.

Q4: Can I use other expressions to represent the price paid after a discount?

A4: Yes, you can use other expressions to represent the price paid after a discount. For example, you can use the expression:

Price Paid = (1 - 0.15)d

This expression is equivalent to the expression 0.85d0.85d and represents the price paid after a 15% discount.

Q5: How do I apply a discount to a price that is not in dollars?

A5: To apply a discount to a price that is not in dollars, you need to convert the price to dollars first. For example, if the price is $10.50 CAD and the discount is 15%, you need to convert the price to dollars using the exchange rate. Once you have the price in dollars, you can apply the discount using the expression:

Price Paid = (1 - 0.15)d

Q6: Can I use a discount on a price that has already been discounted?

A6: No, you cannot use a discount on a price that has already been discounted. If a price has already been discounted, it means that the discount has already been applied, and you cannot apply another discount.

In conclusion, understanding discounts and how to calculate them is essential for making informed purchasing decisions. By taking the time to evaluate the price of an item and applying any applicable discounts, we can ensure we get the best value for our money. Whether you're buying a suit or any other item, being aware of discounts and how to calculate them can make a significant difference in your purchasing power.

  • Discounts can significantly impact the final price of an item.
  • To find the amount of the discount, multiply the retail price by the discount percentage.
  • To find the price paid after a discount, subtract the discount from the retail price.
  • Expressions such as 0.85d0.85d and d−0.15dd - 0.15d can be used to represent the price paid after a discount.
  • You can use other expressions to represent the price paid after a discount, such as (1−0.15)d(1 - 0.15)d.
  • You cannot use a discount on a price that has already been discounted.