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MFP1501 ASSIGNMENT 3 2023
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MFP1501 ASSIGNMENT 3
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MFP1501Assignment
3
This document contains
workings and solutions to
the question below
Admin
JIMMY COSMAS
@JIMMYCOSMAS46@GMAIL.COM
, Question 1
In this MFP1501, we refer to mathematical modelling as the process whereby we use
abstractions of mathematics to solve problems in the real world. For example, there are 21
learners in Grade 5 that will go on an excursion to Zoo Lake. If one car will take a
maximum of 6 learners, how many cars do we need to carry everyone? You may use one
car to work out 21 divided by 6. This will give you 3,5. So, you would need 4 cars. Haylock
(2014) argues that there are four steps involved in this reasoning. In step 1, a problem in
the real world is translated into a problem expressed in mathematical symbols (21÷6, in
this case). In step 2, the mathematical symbol is manipulated to obtain a mathematical
solution (3,5). Step 3 is to interpret the mathematical solution back in the real world (3
cars, and a half). The final step is to check the answer against the constraints of the
original solution. In this case, since you cannot have half of a car, the appropriate
conclusion is that you need 4 cars.
1.1 Summarise the process of mathematical modelling by first drawing a diagram similar
to Figure 3.1 in the study guide. N. B it should not be the same. Be creative. (8)
Real World Problem
↓ (Step 1)
Mathematical Representation
↓ (Step 2)
Mathematical Solution
↓ (Step 3)
Interpretation in the Real World
↓ (Step 4)
Check Against Original Constraints
↓
Final Solution
1.2 In each of the steps in your diagram make use of practical examples that will translate
into your scenario of using abstractions of mathematics to solve problems in the real
world. (15) 4
Step 1: Real World Problem to Mathematical Representation Real World Problem: A
bakery owner wants to know how many loaves of bread to bake each day to meet the
demand for the week. Mathematical Representation: Let's denote the number of loaves
of bread to bake each day as "x."
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