Joseph is selling cellphone data plans. He plans to charge $55 per month for unlimited data, as well as a one-time startup fee of $21. Fill in the expression with the correct numbers to represent the given scenario. let m represent the number of months.

Question

________m+________

The total cost for 6 months is $_________.

Answer 1

To represent Joseph's cellphone data plans with a mathematical expression, we can break down the costs as follows:

1. The monthly charge is $55, so for \( m \) months, the cost will be \( 55m \).
2. There is a one-time startup fee of $21.

Putting these together, the expression representing the total cost \( C \) for \( m \) months will be:

\[ C = 55m + 21 \]

Now, to find the total cost for 6 months, we can substitute \( m \) with 6 in the expression:

\[ C = 55(6) + 21 \]

Calculating that:

\[ C = 330 + 21 = 351 \]

So, the total cost for 6 months is $351.

To summarize:

• Expression filled: 55m + 21
• Total cost for 6 months: $351