A homeowner offered to pay a roofer $500 to replace the bad shingles on his roof, provided the roofer could finish the job by October 1. The roofer told the homeowner he would get back to him after he had checked out prices at a local supply store. The next day, the roofer phoned the homeowner, who was not at home, and left a message on the homeowner's answering machine that he could not do the work for less than $650.

The roofer had not heard from the homeowner for several days. Because October 1st was still two weeks away, the roofer phoned the homeowner again and left another message on his answering machine stating that he would do the job for $500, and that he would do the work the next weekend unless that would be inconvenient for the homeowner.The homeowner replayed the second message just as he was leaving town on a business trip and did not contact the roofer.

That weekend, unbeknownst to the homeowner, the roofer went to the homeowner's house and repaired the roof. When the homeowner returned home, the roofer presented him with a bill for $500 which represented the actual value of the work done. The homeowner refused to pay the bill.

Question:

If the roofer sues solely for breach of contract who will likely prevail? Support your response by analyzing each element of a contract.