Forum Moderators: phranque
If you make income, you pay taxes on it (subject to deductions). Period. To not worry about it is to create a huge monster that will come back to bite you big time.
Savy people learn how to allocate their business expenses to minimize their profit (which is the part that's taxed).
Since you're only 15, it's highly unlikely that your tax rate would be higher than your father's, so putting the income under his name means a bigger chunk of money going to taxes. However, I believe AdSense (and probably other affiliate programs) do have an age limit, since contracts with minors are not legally binding.
Talk to a tax advisor about your particular situation. Your dad should also be in the meeting if income is going to be recorded under his social security number and therefore affecting his tax situation.