1. Seb went to the car dealer to buy a car. He wanted the same car that his girlfriend Vivian had bought the day before, which had a sticker price of PHP 750,000. The salesman said he could give a discount and offered Sed a significantly reduced price. But Seb knew that Vivian had received a 30% discount, and the salesman was offering him only a 20% discount. When he pointed out that his friend had received a 30% discount the day before, the salesman took another 10% off the 20% discounted price. Seb was satisfied with the new price and bought the car, thinking he had paid the same price as Vivian. Was he right? Did they both pay the same price?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Solve each of the following problems using the problem-solving strategies discussed in this section. Include what type of strategy was used in solving the problem. Note: Lesson in the Photo attached
8:00
cdn.fbsbx.com
Mathematics in the Modern World
Hand Outs
Done
Problem Solving and Reasoning
Problem-solving has been an integral part of the mathematics curriculum that must
be taught alongside the various mathematical concepts and skills necessary for success in
school and in real life. Most occupations require good problem-solving skills. This section
aims to help you become a better problem solver and to show that problem-solving can be
an enjoyable experience.
In cognitive psychology, problem-solving refers to the mental process people go
through to discover, analyze, and solve problems. George Polya (1877-1985) defines it as an
act to find a way out of difficulty, find a way around an obstacle, find a way where none is
known, and attain a desired end that is not immediately attainable by direct means.
Problem-solving involves all of the steps in the problem process, including the
discovery of the problem, the decision to tackle the issue, understanding the problem,
researching the available options and taking actions to achieve your goals.
Common Problem-Solving Strategies/Heuristics
Heuristics are procedures or strategies that do not guarantee a solution to a problem
but provide a more highly probable method for discovering the solution to a problem.
There are many reasonable ways to solve problems. You will find choosing a strategy
increasingly easy. Here is a partial list of problem-solving strategies:
1. Working backwards - This strategy is used to solve problems is used to solve problems
that include a number of linked factors or events, where some of the information has not
been provided, usually at the beginning of the problem. This entails starting with the end
results and reversing the steps you need to get those results to figure out the answer to the
problem.
2. Guess and Check-Often referred to as "Trial and Error", it is important to recognize
that an error really isn't a mistake at all, it helps to guide the problem solver to the next
attempt at the answer. The following are the essential features of the guess and check
strategy:
a. Make an "educated" guess at the solution.
b. Check the guess against the conditions of the problem.
c. Use the information obtained in checking to make a better guess.
d. Continue this procedure until the correct answer is obtained
3. Make a Diagram - Drawing a diagram is the most common problem-solving strategy.
Very often, a problem solver needs to draw a diagram just to understand the meaning of the
problem. The diagram represents the problem in a way we can see it, understand it, and
think about it while looking for the next step. When you draw a diagram, you organized
information spatially, which then allows the visual part of your brain to become more
involved in the problem-solving process.
4. Make a List - Making a list is a systematic method of organizing information in rows
and/or columns. By putting the given information in an organized list, you can clearly
analyze this information and then solve the problem by completing the list. By making a
systematic list, one will see every possible combination.
5. Look for a Pattern - This strategy entails looking for patterns in the data in order to
solve the problem, that is, the solver looks for items or numbers that are repeated or at
Transcribed Image Text:8:00 cdn.fbsbx.com Mathematics in the Modern World Hand Outs Done Problem Solving and Reasoning Problem-solving has been an integral part of the mathematics curriculum that must be taught alongside the various mathematical concepts and skills necessary for success in school and in real life. Most occupations require good problem-solving skills. This section aims to help you become a better problem solver and to show that problem-solving can be an enjoyable experience. In cognitive psychology, problem-solving refers to the mental process people go through to discover, analyze, and solve problems. George Polya (1877-1985) defines it as an act to find a way out of difficulty, find a way around an obstacle, find a way where none is known, and attain a desired end that is not immediately attainable by direct means. Problem-solving involves all of the steps in the problem process, including the discovery of the problem, the decision to tackle the issue, understanding the problem, researching the available options and taking actions to achieve your goals. Common Problem-Solving Strategies/Heuristics Heuristics are procedures or strategies that do not guarantee a solution to a problem but provide a more highly probable method for discovering the solution to a problem. There are many reasonable ways to solve problems. You will find choosing a strategy increasingly easy. Here is a partial list of problem-solving strategies: 1. Working backwards - This strategy is used to solve problems is used to solve problems that include a number of linked factors or events, where some of the information has not been provided, usually at the beginning of the problem. This entails starting with the end results and reversing the steps you need to get those results to figure out the answer to the problem. 2. Guess and Check-Often referred to as "Trial and Error", it is important to recognize that an error really isn't a mistake at all, it helps to guide the problem solver to the next attempt at the answer. The following are the essential features of the guess and check strategy: a. Make an "educated" guess at the solution. b. Check the guess against the conditions of the problem. c. Use the information obtained in checking to make a better guess. d. Continue this procedure until the correct answer is obtained 3. Make a Diagram - Drawing a diagram is the most common problem-solving strategy. Very often, a problem solver needs to draw a diagram just to understand the meaning of the problem. The diagram represents the problem in a way we can see it, understand it, and think about it while looking for the next step. When you draw a diagram, you organized information spatially, which then allows the visual part of your brain to become more involved in the problem-solving process. 4. Make a List - Making a list is a systematic method of organizing information in rows and/or columns. By putting the given information in an organized list, you can clearly analyze this information and then solve the problem by completing the list. By making a systematic list, one will see every possible combination. 5. Look for a Pattern - This strategy entails looking for patterns in the data in order to solve the problem, that is, the solver looks for items or numbers that are repeated or at
1. Seb went to the car dealer to buy a car. He wanted the same car that his girlfriend Vivian
had bought the day before, which had a sticker price of PHP 750,000. The salesman said he
could give a discount and offered Sed a significantly reduced price. But Seb knew that
Vivian had received a 30% discount, and the salesman was offering him only a 20%
discount. When he pointed out that his friend had received a 30% discount the day before,
the salesman took another 10% off the 20% discounted price. Seb was satisfied with the
new price and bought the car, thinking he had paid the same price as Vivian. Was he right?
Did they both pay the same price?
Transcribed Image Text:1. Seb went to the car dealer to buy a car. He wanted the same car that his girlfriend Vivian had bought the day before, which had a sticker price of PHP 750,000. The salesman said he could give a discount and offered Sed a significantly reduced price. But Seb knew that Vivian had received a 30% discount, and the salesman was offering him only a 20% discount. When he pointed out that his friend had received a 30% discount the day before, the salesman took another 10% off the 20% discounted price. Seb was satisfied with the new price and bought the car, thinking he had paid the same price as Vivian. Was he right? Did they both pay the same price?
Expert Solution
steps

Step by step

Solved in 3 steps with 16 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,