3

FAT / Activity/Form / Learner’s mark / Learner’s %
3.2 / ASSIGNMENT
TOTAL

3

MATHEMATICS GRADE 9 FORMAL ASSESSMENT TASK (FAT) 3.2:

ASSIGNMENT: GRAPHS

Total: 60 Marks Time: 1 period in the class

Name: ______Date: ______

______

Instructions:

1)  Write your name and date in the spaces provided.

2)  Show calculations as requested on question paper.

3)  You may use a calculator.

4)  It must be your own work.

5)  Check your answers.

Question 1:

From the table below, write down the ordered pairs and plot the points on the Cartesian planes provided:

x / 3 / 2 / 1 / 0 / -1 / -2
y / 0 / -1 / -2 / -3 / -4 / -5

1.1

1.1.1 ______(6)

1. 1.2

(6)

[12]

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)

Mathematics Grade 9

3

2.2.1 y = -2x + 4

2.2.2 y = ½ x – 3

2.2.3 y – x + 3 = 0

2.2.4 2x + y = 8

Mathematics Grade 9

3

[22]

Question 3:

Determine, by inspection, the equation of the line if the following points lie on it: [6]

x / -3 / -2 / -1 / 0 / 1 / 2 / 3
y / -9 / -7 / -5 / -3 / -1 / 1 / 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 R1000 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. (3)

______

5.2 Complete the table of values using your function from Question 5.1. (5)

x / 1 / 2 / 3 / 4 / 5
y

5.3 Draw a grid using a scale of 0 to 10 on the x-axis and 0 to 5000 (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. (3)

______

Mathematics Grade 9