Answer:
C is independent m is dependent. 
Step-by-step explanation:
The money is made based on the number cupcakes that are sold. 
 
        
                    
             
        
        
        
Answer:
(a) x = -2y 
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y 
- y = x/-2 → y = -1/2x 
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12 
- 2y = 12 - x 
- y = 6 - 1/2x 
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0 
- -2y = -3x 
- y = 3/2x 
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6 
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x 
- y = x + 2 
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
 
        
                    
             
        
        
        
Answer:
47/10 - 3.2
Step-by-step explanation:
Given
Dolphin = 3.2
Bird = 47/10
Required
What is the vertical distance between both
Using a vertical scale;
Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.
The vertical distance between them is as follows;
Distance = +[Above The Sea] - [Below The Sea]
Distance = +47/10 - 3.2
Distance = 47/10 - 3.2
Hence, the vertical distance between both is 47/10 - 3.2
 
        
                    
             
        
        
        
Slope = 1/2 :) 
rise over run (rise/run)
so... 2/4 = 1/2 
hope this helps!