Mathematical Modeling

Which of the following is not a component in mathematical modeling?

• Constructing and identifying the problems

• Making assumptions and identifying the variables

• Applying mathematics to solve problems

• Reporting the findings

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.

State the variable in the problem.

• Person who makes the fixed deposit.

• Number of years to save the money in the fixed deposit account.

• Location of bank.

• The date that Rafidah starts to deposit the money in the fixed deposit account.

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.

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

• mathematical function

• mathematical modeling

• derivative function

• abstraction

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

The iCycle Club is organizing a recycling campaign in a neighbourhood. They setup one-stop recycling collection centre around the neighbourhood and would like to study their usage rate. Which of the following is a valid assumption about how many people would make use of the one- stop centre?

• It is assumed that 100% of the people near the one-stop center would use it.

• It is assumed that none of the people near the one-stop center would use it.

• It is assumed that 20% of the people near the one-stop center would use it based on a previous research study.

• It is assumed that 90% of the people near the one-stop center would use it as their house is within 0.5 km from the one-stop centers.

Which of the following is the importance of model assessment?

• It helps to analyse the accuracy of the results predicted by the model.

• It helps to analyse the accuracy of the results predicted by the model.

• It helps to identify the strengths and weaknesses of the built model and understand at a deeper level the behaviour of the model.

• It helps to define the proper variables to be used in developing the model.

It is given that the temperature of town A is –5 °C in July. The temperature decreases for –2 °C per month for 6 consecutive months. What is the temperature of town A in October?

• -7

• -9

• -11

• -13

• Linear model

• Cubic model

• Quadratic model

• Exponential model