I think that 52 is next number
I see from the given data that each additional carpet after the first costs $50 each to have cleaned.
The first costs $125. Supposing we subtract $50 from that, we get $75. So, it sounds like it costs $75 just to get the carpet cleaners to your house.
The rule would then be $75 + $50x, where x : {1, 2, 3, 4, .... }
Let's check this result. Suppose x = 1. Will the charge be $125, as show in the table? $75 + $50(1) = $125. Correct.
Suppose x = 4. Will the charge be $275 as shown in the table?
$75 + $50(4) = $275. YES
Answer:
Option B - Rule) is your answer
X -

x + 4 = -

First, simplify

to

/ Your problem should look like: x -

+ 4 = -
Second, simplify x -

+ 4 to

+ 4 / Your problem should look like:

+ 4 =
Third, regroup terms. / Your problem should look like: 4 -

= -
Fourth, multiply both sides by 2. / Your problem should look like: 8 - x = -1
Fifth, subtract 8 from both sides. / Your problem should look like: -x = -1 - 8
Sixth, simplify -1 - 8 to -9. / Your problem should look like: -x = -9
Seventh, multiply both sides by -1. / Your problem should look like: x = 9
Answer:
x = 9