"vary with..." and "vary depending on..."

[sunsunmoon]

Merriam-Webster's Learner's Dictionary
▪ The cost of a room at the hotel varies with the season.
▪ Their services vary depending on the customer.


- vary with...
- vary depending on...

Are these phrases interchangeable?

 

[Rover_KE]

I would say yes for the first sentence but no for the second.

Rover

 

[sunsunmoon]

vary - definition of vary by Macmillan Dictionary
vary according to/depending on: Car taxes will now vary according to the amount of carbon dioxide a particular car emits.
vary with: Fees vary with the size of the job.

What does "vary with" mean?

 

[Rover_KE]

What does "vary with" mean?

It just means vary according to.

Rover