In some cases, a major thing that will determine your eligibility is your credit score, or perhaps you are new to the world of credit and do not even have a credit score established yet. Your credit score will be critically important to you for the rest of your life, affecting such things as getting a job, your car insurance rates, and the interest rate for loans and mortgages.
If your credit score needs help or you need to establish a credit history, you should check out the advice and tips here to find out how to establish and maintain your credit score, and how to raise it if you already have it established:
Raise Your Credit Score