Depends on the pay difference and reasoning for being required to drive. Say if you just need a car to drive around while you are at work you could own a car that you leave at work and still bike there.
To get me interested in job A the pay difference would have to be about 2,000 dollars per year. Right now I am car lite and pay 2500 dollars per year for insurance gas and repairs (which will go up as the car gets older). Including purchase price it comes out to about 4K per year. A second car would not cost as much because it is much cheaper per car to insure 2 cars.
So the financial marker is between 2-4K per year. I am also not including bike expenses in this calculation. I would buy most of it anyway and I spend very little on the extra wear and tear and equipment I need for commuting vs recreation.