Final answer:
Stacey sent 845 text messages in April. First, we subtracted the base charge from her total owed to find the excess message cost.
Step-by-step explanation:
The correct answer is option A. To determine how many text messages Stacey sent in April, we need to first calculate the cost of the excess messages.
We do this by subtracting the base charge from the total owed: $60.75 (total owed) - $12 (base charge) = $48.75 (cost of excess messages). Since each additional message costs $0.25, we can find the number of excess messages by dividing the cost of excess messages by the cost per message: $48.75 ÷ $0.25 = 195 excess messages.
Adding the excess messages to the 650 included in the base plan gives us the total number of messages sent: 650 + 195 = 845 text messages.
Then, we divided this by the cost per message to find the number of excess messages and added this to the included 650 messages.
To find the number of text messages Stacey sent in the month of April, we need to subtract the base charge and divide the remaining amount by the additional charge for each message over 650.
Let x be the number of text messages Stacey sent.
The equation to represent the total cost of text messaging is: 0.25(x - 650) + 12 = 60.75.
Solving for x, we have: x - 650 = (60.75 - 12) / 0.25 = 191.
Therefore, Stacey sent 191 + 650 = 841 text messages in the month of April.