Linear Law Ex1
1. 
Variables and are known to be related by an equation of the form 

1  2  3  4  
4.00  2.50  2.67  3.25 
Solutuion: 

1  2  3  4  
4.00  2.50  2.67  3.25  
3.00  1.00  0.99  3.00 
2. 
The table shows experimental values of the variables and . 
2  3  4  5  6  
11.9  21.2  32.0  44.1  57.4 
It is known that and are related by the equation , where and are constants. 

(a) Express the equation in a form suitable for drawing a straight line graph. 

(b) Draw the graph and use it to estimate the value of and of . 

(c) With the estimated values of and , calculate the value of when . 

Solutuion: 

(b) 
2  3  4  5  6  
11.9  21.2  32.0  44.1  57.4  
1.00  1.26  1.45  1.59  1.71  
0.30  0.48  0.60  0.70  0.78 