Mathematics Gr 9 FAT 3 2 - Assignment Graphs Term 3 final

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GRADE: 9
SUBJECT: MATHEMATICS
TERM THREE
FORMAL ASSESSMENT TASK - ASSIGNMENT
Name: _______________________________________________________
Class: ___________________________ Date: ______________________
School: __________________________ Teacher:___________________
FAT
Activity/Form
3.2
ASSIGNMENT
TOTAL
Learner’s
mark
Learner’s %
1
MATHEMATICS GRADE 9 FORMAL ASSESSMENT TASK (FAT) 3.2:
ASSIGNMENT: GRAPHS
Total: 60 Marks
Time: 1 period in the class
Name: _____________________________________
Date: _____________
_____________________________________________________________________________________________
Instructions:
1)
2)
3)
4)
5)
Write your name and date in the spaces provided.
Show calculations as requested on question paper.
You may use a calculator.
It must be your own work.
Check your answers.
Question 1:
From the table below, write down the ordered pairs and plot the points on the Cartesian planes provided:
1.1
x
y
1.1.1
___________________________________________________________________________________________________________ (6)
3
0
2
-1
1
-2
0
-3
-1
-4
-2
-5
1. 1.2
(6)
[12]
Mathematics Grade 9
2
Question 2:
2.1
Determine the gradient of the lines on each Cartesian plane:
a. ________________________________________________ (3)
b. ____________________________________________ (3)
2.2
Draw labeled graphs determined by the following equations, showing all the necessary intercepts. Draw 2
graphs per grid.
(4 x 4 = 16)
2.2.1
𝑦 = −2𝑥 + 4
2.2.3
𝑦– 𝑥 + 3 = 0
2.2.2
𝑦 = ½𝑥– 3
2.2.4
2𝑥 + 𝑦 = 8
[22]
Mathematics Grade 9
2
Question 3:
Determine, by inspection, the equation of the line if the following points lie on it:
𝑥
𝑦
-3
-9
-2
-7
-1
-5
0
-3
1
-1
[6]
2
1
3
3
_________________________________________________________________________________________________________________________________
Question 4: Find the equations of the graphs indicated below:
4.1
4.2
__________________________________________________
(3)
_________________________________________________(3)
Question 5:
A Businessman earns a basic salary of R1 000 plus R500 commission for every item he sells.
5.1
Write a function for calculating the salesman’s salary (𝑦) if he sells 𝑥 items.
________________________________________________________________________________________________
Mathematics Grade 9
(3)
3
5.2
Complete the table of values using your function from Question 5.1.
𝑥
𝑦
1
2
3
4
(5)
5
5.3
Draw a grid using a scale of 0 to 10 on the 𝑥-axis and 0 to 5 000 (with intervals of 500) on the 𝑦-axis, and
plot a graph based on your table.
5.4
Use the graph to find out how much the salesman would be paid if he sold 7 items.
(2)
___________________________________________________________________________________________________________
5.5
Use the function you wrote in Question 5.1 to check your answer to Question 5.4.
____________________________________________________________________________________________________________
Mathematics Grade 9
(3)
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