SOLUTION: A Telecom company is charged P500 monthly for a particular mobile plan, which includes 100 free text messages. Messages over 100 are charged P2.5 each. a. Represent the amount

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A Telecom company is charged P500 monthly for a particular mobile plan, which includes 100 free text messages. Messages over 100 are charged P2.5 each. a. Represent the amount       Log On


   



Question 1184831: A Telecom company is charged P500 monthly for a particular mobile plan, which
includes 100 free text messages. Messages over 100 are charged P2.5 each.
a. Represent the amount a consumer pays each month as a function of the number of messages (m) sent in a month
b. How much did Telecom company charge to a user if he consumed 250 messages in a month?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the total cost is 500 a month plus 2.5 for each message over 100.

if the utilization is less than or equal to 100 messages a month, then the total cost is 500.

if the utilization is more than 100 message a month, then the total cost is 500 plus (number of messages that month minus 100).

if the user consumed 250 message a month, the total charge would be 500 plus 2.5 * (250 - 100) = 500 plus 2.5 * 150 = 875.

for any number of message under or equal to 100, the total cost is 500.

after that, the total cost is 500 plus 2.5 * any number of messages greater than 100.