Question
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.
________m+________
The total cost for 6 months is $_________.
________m+________
The total cost for 6 months is $_________.
Answers
GPT-4o mini
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**
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**