To represent the total cost for Joseph's cellphone data plan as a function of months (m), the expression can be written as:
\[ 55m + 21 \]
In this expression:
- \(55m\) represents the monthly charge of $55 for \(m\) months.
- \(21\) represents the one-time startup fee.
To find the total cost for 6 months, we can substitute \(m = 6\) into the expression:
\[ 55(6) + 21 = 330 + 21 = 351 \]
Therefore, the total cost for 6 months is $351.
To summarize:
- The completed expression is: 55m + 21
- The total cost for 6 months is: $351.