mathematical modeling

Which of the following statements is not related to the processes involved in mathematical modeling?

• Identifying and defining the problems

• Making assumptions and identifying the variables

• Solving problems by guessing

• Verifying and interpreting solutions in the context of the problem

Tags

CCSS.8.EE.C.7B

What is the last step in mathematical modeling?

• Reporting findings

• Refining the mathematical model

• Applying mathematics to solve problems

• Verifying and interpreting solutions in the context of the problem

Tags

CCSS.8.EE.C.7B

Joanne wants to go to a shopping mall for leisure. However, she does not have transportation like car that can send her to go to the shopping mall from her house. Thus, she wants to get a taxi service that will charge RM14.00 for a journey of 7 km. Before Joanne booking the taxi service from a taxi driver, she receives a phone call from her friend who wishes to meet her in a library to discuss school assignments. The distance between Joanne’s house and the library is 15 km. She wants to book the taxi service from the same taxi driver to move from her house to the library. How much is the taxi fare charged by the taxi driver when sending Joanne from her house until arriving at the library?

Which of the following is the process of making assumptions and identifying the variables?

• Determine taxi fare charged by the taxi driver while he sends Joanne from the house until arriving at the library.

• Assume that the taxi fare charged for a journey of 1 km is the same. Let x represents the distance of journey and y represents the taxi fare charged by the taxi driver.

• The model of linear function y = 2x obtained may not be used for every kilometer travelled.

• Substitute y = 14 and x = 7 into y = kx.

A train moves from town A to town B for a distance of 200 km within 1 hour and 30 minutes. If the train takes 40 minutes to move from town B to town C, what is the distance between town B and town C?

Based on the problem above, what assumption should be made in the mathematical modeling?

• The operating cost of the train is fixed.

• The type of fuel used by the train is fixed.

• The speed of the train is fixed.

• The driver of the train is the same person.

Tags

CCSS.7.EE.B.4A

Which of the following components can be achieved through mathematical modeling?

I Refining the mathematical modeling

II Making estimation and identifying hypothesis

III Identifying and defining the problem

IV Report the findings

• I, II, III

• I, II, IV

• I, III, IV

• II, III, IV

A ___________ is a representation involving real world problem into mathematical problem.

• mathematical function

• mathematical modeling

• derivative function

• abstraction

Which of the following is a step to refine a mathematical model?

• Check the answers from the solution obtained.

• Determine the variables used in the mathematical model.

• Determine whether the assumptions made are true or false.

• Replace with a new mathematical model if the model applied is not appropriate.

State the first compenent in the mathematical modeling

State the second compenent in the mathematical modeling

State the third compenent in the mathematical modeling