Answer:
The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.
Step-by-step explanation:
The rate of change represent the change in one variable with respect to another variable. It also known as slope.
It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.
The function for Paolo Portraits charges is defined as
[tex]f(x)=15x[/tex]
From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).
The slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12[/tex]
The function for clear image studio is
[tex]g(x)=12x[/tex]
It means the rate of change of clear image studio is $12 per photo.
The rate of change of Paolo Portraits is more than rate of change of clear image studio.
Therefore Paolo Portraits charges are higher than the clear image studio.
