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

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

What is the assumption needed to be made for the problem above?

• The price of the smartphone increases when Shuhada has raised RM1500

• The interest rate does not change throughout the period of saving

• Shuhada withdraws money after a month

• Shuhada adds RM500 to her savings

The diagram shows the data collected for the number of customers, y , who visit a restaurant after x days.

Which of the following is the most appropriate model used to represent the above data?

• Linear model

• Cubic model

• Quadratic model

• Exponential model

the length and width of a room is 6m and 5m respectively. A worker wants to cover room with square tiles with a side length of 30cm. How many tiles does he need?

• 340

• 320

• 300

• 280

What is the assumption need to be made for the problem in Question 5?

• There are damaged tiles while installing tiles on the floor.

• No tiles are damaged while installing tiles on the floor.

• The room was fitted wit a few pieces of tiles.

• The room needs to be pained first.

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.

The diagram shows the data collected for the profit(RM) versus sales for a retail shop.

Which of the following is the most appropriate model used to represent the above data?

• Linear model

• Quadratic model

• Cubic model

• Exponential model

What is the possible function for this model?

• $y=ax^2+bx+c$

• $y=ax+b$

• $y=e^x$

• $y=\frac{a}{x}$

What is the possible function for this model?

• $y=ax^2+bx+c$

• $y=mx+c$

• $y=a^x$

• $y=\frac{a}{x}$