MIP1502/102/0/2 Question 1 1.1 A tiling pattern is made by arranging black and red squares, as shown below: Tile no. 1 Tile no. 2 Tile no. 3 1.1.1 Complete the table below for tile numbers 5 and 6. Tile no (n) 1 2 3 4 5 6 27 Tile length (1) 3 Number of red squares (R) 4 6 8 10 Number of black squares (B) 5 10 17 26 Total number of squares (S) 9 16 25 36 1.1.2 Given that the length of tile number 1 is 3, what is the length of tile number 7? Explain your thinking 1.1.3 Find the formula (functional relationship) to calculate the number of 1.1.3.1 red squares (R) in terms of tile length (!), and 1.1.3.2 black squares (B) in terms of tile length (!). 1.1.4 Complete column 27. Explain. 1.1.5 Show algebraically that (1-2) (1 + 2) = n(n + 4). Explain your thinking. 1.2 The recipe for making beef stew is 45 minutes cooking time for each kilogram plus 40 minutes extra. Let the cooking time for a stew be t, and the mass of beef in the stew be m. Mass in kilograms (m) 123 13 25 Time in minutes (t) 1.2.1 Copy and complete the table. 1.2.2 How did you complete the table? Describe your method. 1.2.3 Write down an equation for t in terms of m. 1.2.4 The caterer has to cook the beef stew for 40 guests. Each guest is expected to consume 200 g of stew. How long will it take to cook the stew? 1.2.5 What is the independent variable in the situation described in 1.2? 1.2.6 Describe the functional relationship of the situation in 1.2. [
MIP1502/102/0/2 Question 1 1.1 A tiling pattern is made by arranging black and red squares, as shown below: Tile no. 1 Tile no. 2 Tile no. 3 1.1.1 Complete the table below for tile numbers 5 and 6. Tile no (n) 1 2 3 4 5 6 27 Tile length (1) 3 Number of red squares (R) 4 6 8 10 Number of black squares (B) 5 10 17 26 Total number of squares (S) 9 16 25 36 1.1.2 Given that the length of tile number 1 is 3, what is the length of tile number 7? Explain your thinking 1.1.3 Find the formula (functional relationship) to calculate the number of 1.1.3.1 red squares (R) in terms of tile length (!), and 1.1.3.2 black squares (B) in terms of tile length (!). 1.1.4 Complete column 27. Explain. 1.1.5 Show algebraically that (1-2) (1 + 2) = n(n + 4). Explain your thinking. 1.2 The recipe for making beef stew is 45 minutes cooking time for each kilogram plus 40 minutes extra. Let the cooking time for a stew be t, and the mass of beef in the stew be m. Mass in kilograms (m) 123 13 25 Time in minutes (t) 1.2.1 Copy and complete the table. 1.2.2 How did you complete the table? Describe your method. 1.2.3 Write down an equation for t in terms of m. 1.2.4 The caterer has to cook the beef stew for 40 guests. Each guest is expected to consume 200 g of stew. How long will it take to cook the stew? 1.2.5 What is the independent variable in the situation described in 1.2? 1.2.6 Describe the functional relationship of the situation in 1.2. [
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:MIP1502/102/0/2
Question 1
1.1 A tiling pattern is made by arranging black and red squares, as shown below:
Tile no. 1
Tile no. 2
Tile no. 3
1.1.1 Complete the table below for tile numbers 5 and 6.
Tile no (n)
1 2 3 4 5 6 27
Tile length (1)
3
Number of red squares (R)
4
6 8 10
Number of black squares (B)
5
10 17 26
Total number of squares (S)
9
16 25 36
1.1.2 Given that the length of tile number 1 is 3, what is the length of tile number
7? Explain your thinking
1.1.3 Find the formula (functional relationship) to calculate the number of
1.1.3.1 red squares (R) in terms of tile length (!), and
1.1.3.2 black squares (B) in terms of tile length (!).
1.1.4 Complete column 27. Explain.
1.1.5 Show algebraically that (1-2) (1 + 2) = n(n + 4). Explain your thinking.
1.2 The recipe for making beef stew is 45 minutes cooking time for each kilogram
plus 40 minutes extra. Let the cooking time for a stew be t, and the mass of beef
in the stew be m.
Mass in kilograms (m) 123 13 25
Time in minutes (t)
1.2.1 Copy and complete the table.
1.2.2 How did you complete the table? Describe your method.
1.2.3 Write down an equation for t in terms of m.
1.2.4 The caterer has to cook the beef stew for 40 guests. Each guest is
expected to consume 200 g of stew. How long will it take to cook the
stew?
1.2.5 What is the independent variable in the situation described in 1.2?
1.2.6 Describe the functional relationship of the situation in 1.2.
[
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