Both the bike rider and the car rider will be using up chemical energy and turning it into kinetic energy. The main difference is that the car is (probably) using up fossil, non-renewable fuels like gas or diesel, while the bike rider is fueled by food. And food is a renewable resource, we can grow more of it.
Kinetic energy.
Not worth it. Sell the bike as it is and buy the kind of bike you want instead.
A bike skidding on a road is experience kinetic friction. This is a dissipative force, in that it takes energy out of a system when motion is in placed and puts the energy into heat.
Solar energy transfers to the biker, the biker transfers muscular energy to the pedals, the pedals transfer mechanical energy to the bike itself, the bike transfers mechanical energy to the wheels, and the wheels transfer friction energy to the road, and the bike (it's wheels) moves.
a bike that is small
What kind of an idiot are you? That seriously depends on what kind of freaking bike you have, STUPID!
a bmx bike
You can conserve energy by using fans instead of air conditioners, as fans require much less energy to operate than air conditioners.
Anaerobic
If you intend to buy a new bike you won't get anything "good" for that kind of money. Your best bet is to try to find a used bike in good condition instead. For those who knows what to look for, and don't insist on the latest models there are nice bargains available.
no make
Anaerobic