Mrs. solar modeled contractor 2’s fees with the formula y = 150 + 55x. mrs. solar compared
contractor 2’s fee to contractor 1’s fee.

(a) what does the difference between 50 and 55 mean in the real-world context?
(b) what does the difference between 200 and 150 mean in the real-world context?

I'm guessing that you forgot to put contractor 1's fees
judging from the question, I would assume that his fees are y=200+50x
I will assume that y=fee and x=number of hours (or units of time)

so
a. difference between 55 and 50, that is 5 so #2's fee is 5$ more for every hour he works
b. difference between200 and 150 means that contractor 1 gets 50 more initally than contractor 2