Final answer:
After subtracting the monthly fee from the total charge and dividing by the cost per minute, we find that Dan used 1111 minutes or more when he was charged at least $77.66.
Step-by-step explanation:
To determine the possible number of minutes Dan has used his phone in a month, given that the least he has been charged is $77.66, we first need to account for the monthly fee. Subtract the monthly fee of $11 from the total charge:
$77.66 - $11 = $66.66
Now, we divide the remaining amount by the cost per minute to find the number of minutes:
$66.66 ÷ $0.06/minute = 1111 minutes
Therefore, since the total charge of $77.66 is the least he has been charged, the possible number of minutes he has used is 1111 or more, which corresponds to option (A).