Question

1. mp modeling real life a cell phone company charges a monthly fee plus $0.25 for each text message you send. the monthly fee is $30.00. you owe $59.50. how many text messages did you send? justify your answer.

Explanation:

Step1: Define variables and equation

Let \( x \) be the number of text messages. The total cost is monthly fee plus cost per text, so equation: \( 30 + 0.25x = 59.50 \)

Step2: Subtract monthly fee

Subtract 30 from both sides: \( 0.25x = 59.50 - 30 \)
\( 0.25x = 29.50 \)

Step3: Solve for x

Divide both sides by 0.25: \( x = \frac{29.50}{0.25} \)
\( x = 118 \)

Answer:

118