SOLUTION: Megan's text messaging plan costs $14 for the first 350 messages and 25¢ for each additional text message. If she owes $72.50 for text messaging in the month of April, how many te

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Question 1111971: Megan's text messaging plan costs $14 for the first 350 messages and 25¢ for each additional text message. If she owes $72.50 for text messaging in the month of April, how many text messages did she send that month?
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
lET NUMBER OF TEXT MESSAGES SENT BE X
Fixed cost $14 -350 messages
variable $ 0.25 each message
Bill = 72.50
72.50 = 14 +0.25x
extra messages 234
find total

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Megan's text messaging plan costs $14 for the first 350 messages and 25¢ for each additional text message. If she owes $72.50 for text messaging in the month of April, how many text messages did she send that month?
Let number of text messages sent be m, and amount owed, O
Then, O(m) = .25(m - 350) + 14, with m+%3E=+350
72.5 = .25m - 87.5 + 14 ------- Substituting 72.5 for O(m)
72.5 = .25m - 73.5
72.5 + 73.5 = .25m
146 = .25m
m, or number of messages sent that month = highlight_green%28matrix%281%2C3%2C+146%2F.25%2C+%22=%22%2C+584%29%29