Problem 3 - Intermediate Algebra

Question

Fill in the blanks. When the regular price of an item is reduced, the amount of reduction is called the _____.

Step-by-Step Solution

Answer

The amount of reduction is called the 'discount.'

Step 1: Understanding the Concept

When the price of an item is decreased from its original price, we refer to the amount by which the price is decreased as a specific term. This term is commonly used in sales and marketing to indicate the saving or decrease in price.

Step 2: Identifying the Term

The term used to describe the amount of reduction from the regular price of an item is 'discount.' This term is widely used in contexts involving sales, special offers, or price reductions.

Key Concepts

Understanding Discounts

A discount refers to the amount by which the original price of a product is reduced. Discounts are common in sales and promotions, allowing customers to purchase items at a lower cost.
This reduction in price is often expressed as a percentage. For example, a 20% discount on a $50 item means you pay 20% less than the original price.

• Original Price: $50
• Discount: 20% of $50 = $10
• Sale Price: $50 - $10 = $40

Discounts are attractive to shoppers as they provide an opportunity to save money. The term is broadly used in marketing and retail contexts to describe the customer's savings.

Exploring Price Reduction

A price reduction is another way to describe a discount. It involves lowering the price of an item from its original set value. This strategy is often used during sales campaigns to boost sales volume and attract more customers.
Retailers may offer price reductions to clear out old inventory or introduce a new product to the market. Understandably, price reductions can be temporary or permanent, depending on the retailer's objectives.

• Temporary reductions could be for special sales events like Black Friday or end-of-season clearance.
• Permanent reductions might occur when a product is nearing the end of its lifecycle.

Overall, price reductions are a crucial tool in retail to increase customer interest and sales.

Problem-Solving Steps in Calculating Discounts

To effectively calculate a discount or price reduction, follow these simple steps:

• Determine the original price of the item: This is the price before any discounts are applied.
• Identify the discount rate or amount: This can be a percentage or a specific dollar amount.
• Calculate the discount: Multiply the original price by the discount rate (expressed as a decimal) to find the dollar value of the discount.
• Subtract the discount from the original price: This gives you the sale price.

For instance, if an item costs $100 and there's a 15% discount, you'd calculate 15% of $100, which is $15. Subtract $15 from $100 to find the sale price of $85. These steps help ensure precision in determining the final price, making discounts easier to comprehend for consumers and retailers alike.