3. The mathematical relationship is 1 𝐸 =𝑘 𝐹
Where k = the gradient of the line
The mathematical relationship is 𝐸=𝑘 1 𝐹

4. C = k 𝑫
C2 = k D

5. P = I2R
Example:
Power / Current graph:

8. y is proportional to x2 Sketch A vs B Replace A with A21 3 4 12 9 27 16 48 25 75 36
108 A B 1 3 2 12 27 4 48 5 75 6
108
Sketch A vs B
Replace A with A2
Now plot B versus A2, you should now have a straight line through the origin
Find the gradient of this line:
Apply y= mx + b analysis to determine the relationship equation

11. y is inversely proportional to x

12. Sample Problem: Sketch V vs P Replace V with 1/V Now plot 1/V versus A
V(m3)
P(Pa)
3.0 1
1.5 2
1.0 3
0.75 4
0.6 5
0.5 6
Sketch V vs P
Replace V with 1/V
Now plot 1/V versus A
If your guess was right you should now have a straight line through the origin
Find the gradient of this line
Apply y= mx + b analysis to determine the relationship equation

15. You could use your graphing calculator

16. Or USE a Spreadsheet