Objective 2 Solve using the five "Steps for Solving Applied...

Name: Problem 8, Chapter 3: Beginning and Intermediate Algebra
Uploaded: 2023-09-05T11:00:07-08:00
Duration: 1 min 38 s
Channel: Jerelyn Nevil
Description: Objective 2 Solve using the five "Steps for Solving Applied Problems." See Example 2 Marie paid 15.13 for a hardcover book that was marked down 15 % . What was the original selling price of the book?

Objective 2
Solve using the five "Steps for Solving Applied Problems." See Example 2
Marie paid $\$ 15.13$ for a hardcover book that was marked down $15 \% .$ What was the original selling price of the book?

Key Concepts

Equation Formulation and Algebraic Manipulation

This concept encompasses translating the problem statement into an algebraic equation. By identifying relevant quantities and relationships, such as equating the final price to a percentage of the original price, one can use algebraic methods to isolate and solve for the unknown variable.

Reverse Percentage Calculation

Reverse percentage calculation is used to determine the original amount before a percentage change was applied. This involves setting up an equation where the final amount is expressed as a percentage (or decimal multiplier) of the original value, and then solving for the original amount.

Applied Problem Solving Process

This concept involves a systematic approach to solving real-world problems by following structured steps: understanding the problem, devising a plan, carrying out the plan, and verifying the solution. It serves as a guideline to break down complex questions into manageable steps, ensuring no part of the problem is overlooked.

Percent Discount and Markdowns

A percent discount represents a reduction from the original price by a specified percentage. Understanding that a marked-down price is a fixed percentage of the original lets us model the situation mathematically. For example, if a product is discounted by a certain percentage, the price after the discount is the complement of that percentage applied to the original price.

Transcript

Please give Ace some feedback