Answer:
answer is 2 
Step-by-step explanation:
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K · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
Answer: The scale of dilation is 2.5
        
                    
             
        
        
        
Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y

Answer:
(a) 
(b) 
Step-by-step explanation:
Given

Solving (a): The constant of proportionality:
Pick any two corresponding x and y values


The constant of proportionality k is:




Solving (b): The equation
In (a), we have:

k can also be expressed as:

Substitute values for x1, y1 and k

Cross multiply:

Open bracket

Add 10 to both sides


 
        
             
        
        
        
1 m = 100 cm
800 m = 800 x 100 = 80000 cm
Therefore, 800 m 35 cm = 80000 cm + 35 cm = 80035 cm
Also, 154 m = 154 x 100 = 15400 cm
Therefore, 154 m 49 cm = 15449 cm
Therefore, <span>800m 35cm - 154m 49cm = 80035 cm - 15449 cm = 64586 cm = 645m 86cm</span> 
        
             
        
        
        
The answer is twenty four