Question
Two phone companies offer different pricing plans. Plan A charges a $35 activation fee and $28 per month. Plan B has a $50 activation fee and charges $25 per month. Which equation represents when the total cost of both plans will be equal after, m, nearest months?
Responses
28m = 25m
28m = 25m EndFragment
35m + 28 = 50m + 25
35m + 28 = 50m + 25 EndFragment
35 + 28m = 50 + 25m
35 + 28m = 50 + 25m EndFragment
50 + 28m = 35 + 25m
Responses
28m = 25m
28m = 25m EndFragment
35m + 28 = 50m + 25
35m + 28 = 50m + 25 EndFragment
35 + 28m = 50 + 25m
35 + 28m = 50 + 25m EndFragment
50 + 28m = 35 + 25m
Answers
GPT-4o mini
To find the equation that represents when the total cost of both plans will be equal after \( m \) months, we need to express the total cost for each plan.
**Plan A:**
- Activation fee: $35
- Monthly fee: $28
- Total cost after \( m \) months: \( 35 + 28m \)
**Plan B:**
- Activation fee: $50
- Monthly fee: $25
- Total cost after \( m \) months: \( 50 + 25m \)
We need to set the total costs equal to each other:
\[
35 + 28m = 50 + 25m
\]
Therefore, the correct equation from the given options is:
**35 + 28m = 50 + 25m**
**Plan A:**
- Activation fee: $35
- Monthly fee: $28
- Total cost after \( m \) months: \( 35 + 28m \)
**Plan B:**
- Activation fee: $50
- Monthly fee: $25
- Total cost after \( m \) months: \( 50 + 25m \)
We need to set the total costs equal to each other:
\[
35 + 28m = 50 + 25m
\]
Therefore, the correct equation from the given options is:
**35 + 28m = 50 + 25m**