Question

Stacey owes $43.20 for text messaging in the month of January. If her text messaging plan costs $7 for the first 250 messages and 20¢ for each additional text message, how many text messages did she send that month?

Answer 1

       We are given the  fixed cost which is the cost of messaging plan for the first 250 text messages and the variable cost which is the cost for each additional text message. From this variable and fixed cost, we will calculate the total messages sent for the month of January.

Total messages sent that month = 431 messages.

• Fixed cost is; $7 for the first 250

• Variable cost is; 20 cents or $0.2 for each additional message .

• Thus, total amount she will be due to pay in a month is;

A = 7 + 0.2x

Where x is number of extra messages after the first 250.

• Stacey owes $43.2 for that month.

Thus;

43.2 = 7 + 0.2x

Subtract 7 from both sides to get;

36.2 = 0.2x

x = 36.2/0.2

x = 181 messages

• Total messages sent that month = 250 + 181 = 431 messages.

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