Answer:
The rational function that might have the given graph is 
.
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at 
and 
. The lead coefficient of the numerator must be 1, since horizontal asymptote must be 
and intercept must be 
, since 
.
Then, we conclude that a rational function that might have the graph is:
(1)
We present the proof that given function is appropriate.
Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If 
, the function f(x) is horizontally stretched by factor 
.
If 
, the function f(x) is horizontally compressed by factor .
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor 
.
Hence, the correct option is D.
All you have to do is the amount she bought divided by 0.05 and then add the answer you get to the amount she bought each time
