<u>Answer:</u>
A. Nicole's hair grows at a rate of 1/2 in. per month.
B. Julian adds 5 laps to his swimming routine every week.
<u>Step-by-step explanation:</u>
We are given a number of situations and we are to figure out whether which of them can be modeled by a linear function.
To begin with, I would like to define in simple words what a linear function is.
A function which which produces a straight line graph is said to be a linear function.
Here, the following two situations can be modeled by linear function:
A. Nicole's hair grows at a rate of 1/2 in. per month.
B. Julian adds 5 laps to his swimming routine every week.
 
        
             
        
        
        
(-3,2) bc that is the reflection of the two number all you do is baically flip the numbers
        
             
        
        
        
slope = m=(y2-y1)/(x2-x1)
m= (4-5)/(1-(-2))
m= -1/(1+2)
m=-1/3
Choice C
   
 
        
             
        
        
        
The sum will be: 
sigma(i = 1 to infinity, 30*(2/5)^i) 
->

Which is equal to 30/(3/5) = 50
 
        
        
        
I found the correct image that accompanies this problem and edited it with my answers.. Pls. see attachment. 
Based on the attachment, the correct statements are:
<span>1) DO,2 (x,y) = (2x, 2y)
2) Side Q'S' lies on a line with a slope of -1.
Q'(-6,6) S'(-2,2) 
m = y1 - y2 / x1 - x2
m = 6 - 2 / -6 - (-2)
m = 4 / -4
m = -1
</span><span>5) The distance from Q' to the origin is twice the distance from Q to the origin.
</span>