I started at Caltrans on April 11th and got a final job offer letter just a few days after I confirmed my start date to my supervisor. The starting paragraph should always begin with your acceptance of the job offer letter.State how eager you are to start working for the company. Mention the proposed start date. Knowing how to accept a job offer is key. Thank the recruiter, review the offer and follow up with questions and a counter offer before accepting the offer. A sample letter offering a job contingent upon the results of a background check or other criteria.