Please solve one of the 3 problems below using Polyas 4 step

Please solve one of the 3 problems below using Polya\'s 4 steps and post each step of the solution. All working must be shown. Start with a verbal description and end with a sentence answering the question. Use Polya’s 4 steps: Read and understand the Word Problem, Devise a plan (Translate into symbols), Carry out the plan (Solve the problem), Look back and review (Did you answer the question? Does your answer check and make sense?).

a) A moderately active 140-pound person will use 2,100 calories per day to maintain that body weight. How many calories per day are necessary to maintain a moderately active 175-pound person?

b) If the property tax on a $149,500 home is $3,860, what is the tax on a 175,000 home?

c) If a 171-mile trip took 9 1/2 gallons of gas, how much gas is needed for a 247-mile trip?

Solution

George Polya was a mathematician in the 1940s. He devised a systematic process for solving problems that is now referred to by his name: the Polya 4-Step Problem-Solving Process.

In this lesson, we will discuss each step of the Polya process while working through the solution to a problem. At the end of the lesson, you will have the opportunity to try more examples before taking your quiz.

So, to start, let\'s think about a party. Sally was having a party. She invited 20 women and 15 men. She made 1 dozen blue cupcakes and 3 dozen red cupcakes. At the end of the party there were only 5 cupcakes left. How many cupcakes were eaten?

The first step of Polya\'s Process is to Understand the Problem. Some ways to tell if you really understand what is being asked is to: