The service with the cheaper initial fee is the graphed one, So Fresh & So Clean.
Which service has the cheaper initial fee?
For both cases, we can write the costs as linear equations, so we want to see which linear equation has the smallest y-intercept.
We can see that for the graphed line, the y-intercept is b = 15.
For the data on the table, we can use the first two points to get the slope. The points are (1, 28) and (2, 36), so the slope is:
[tex]a = \frac{36 - 28}{2 - 1} = 8[/tex]
Then we can write this line as:
y = 8*x + c
To find the y-intercept we can use the first point (1, 28), this means that:
28 = 8*1 + c
28 - 8 = c = 20
Then the y-intercept, in this case, 20.
This means that the service with the cheaper initial fee is the one where the line is graphed, which is So Fresh & So clean.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ2