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
![f(x)=15x](https://tex.z-dn.net/?f=f%28x%29%3D15x)
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
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B12-0%7D%7B1-0%7D%3D%5Cfrac%7B12%7D%7B1%7D%3D12)
The function for clear image studio is
![g(x)=12x](https://tex.z-dn.net/?f=g%28x%29%3D12x)
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.
Answer:
m = 35
Step-by-step explanation:
2m + m -15 = 90
3m -15 = 90
+15 +15
3m = 105
/3 /3
m = 35
To check the work just insert 35 for m:
2(35) + 35 -15 = 90
70 + 35 -15 = 90
105 - 15 = 90
90 = 90
(2,1)
I first used substitution to get my answer and then used graphing to check. You can easily get a graphing equation by rearranging the second equation.<span />
Answer:
y=-3
Step-by-step explanation:
slope is 0 so we know it is a straight line.
your y value is -3 so therefor is your answer