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 $_____
1) 66
2) 82
3) 55
4) 21
5) 351

Answer 1

To represent the total cost of the cellphone data plan, we should form the expression based on the monthly charge and the one-time startup fee.

The monthly charge is $55 per month and there is a one-time startup fee of $21.

The correct expression to represent the total cost, \( C \), for \( m \) months would be:

\[ C = 55m + 21 \]

Now, to find the total cost for 6 months, we substitute \( m = 6 \) into the expression:

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

Calculating it:

\[ C = 330 + 21 = 351 \]

Thus, the filled expression is:

\[ 55m + 21 \]

And the total cost for 6 months is:

\[ 351 \]

So the answers are:

1. The expression: 55m + 21
2. The total cost for 6 months: 351