The correct answer to this open question is the following.
Although there are no options attached, we can say the following.
Mathias has very supportive parents who will let him play video games but only after he has finished all of his homework. The type of parenting style does this BEST represent is Authoritative Parenting.
This type is the correct answer in that when parents use Authoritative Parenting, this means they are nurturing, respectful, and reasonable with their demands.
These parents try to be firm or strict, but they explain the reasons why. There is an open and permanent line of communication with their children and disciplinary actions are explained. Children know what to expect from their parents.