Math Problem Statement
Please read the information and then answer the questions that follow: Two brothers, Andile and Beki, want to join a gym for one year. Andile decides to join Gym Aerolux and Beki decides to join Gym Bodyworx. The monthly fee for Aerolux is R125 with no registration fee and the monthly fee for Bodyworx is R100 with R250 registration fee. 2.3.1 Decide which one of the following two aspects of the situation will be the input value (the independent variable π₯) and which one will be the output value (the dependent variable π¦) (2) 2.3.2 Represent the accumulated gym fees for Andile and Beki in a table for the first thirteen months. (14) 2.3.3 Set up equations to calculate gym fees for both brothers: (4) 2.3.4 Write both equations in the form of a function. (2) 2.3.5 Sketch a graph for both functions on the same coordinate plane, clearly showing which Andile and Bekiβs functions are. (10) 2.3.6 Which of the two functions shows a direct proportion between the number of months and the fees paid? (2) 2.3.7 In which month did the two brothers pay the same amount of money? (2) 2.3.8 After 12 months, which brother has paid less towards his gym fees than the other brother has? (2) [48] _________________________________________________________________________ TOTAL MARKS: 100 (π) 1 2 3 4 5 2.2.2 π(π) 4 6 8 10 12 2.2.3 π(π) 5 11 19 29 41 Two brothers, Andile and Beki, want to join a gym for one year. Andile decides to join Gym Aerolux and Beki decides to join Gym Bodyworx. The monthly fee for Aerolux is R125 with no registration fee and the monthly fee for Bodyworx is R100 with R250 registration fee
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Functions
Graphing
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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