Question

2 step equations
a cell phone company charges a monthly fee plus $0.25 for each text message. the monthly fee is $30.00 and you owe $59.50. how many text messages did you have?
11 multiple choice 1 point
select the equation that you would use to find how many text messages you had for the month.
59.50 + 30 = 0.25
30 + 0.25p = 59.50
30p + 0.25 = 59.50
59.50p - 30 = 0.25
12 multiple choice 1 point
how many text messages did you have for the month?
89 messages
105.5 messages
118 messages
2 messages

Explanation:

Step1: Set up the equation

Let \( p \) be the number of text - messages. The monthly fee is \( 30\) dollars and the cost per text message is \( 0.25\) dollars. The total owed is \( 59.50\) dollars. The equation is based on the formula: \( \text{Monthly fee}+\text{Cost per text message}\times\text{Number of text messages}=\text{Total owed}\). So, \( 30 + 0.25p=59.50\).

Step2: Solve the equation for \( p \)

Subtract \( 30\) from both sides of the equation:
\( 30 + 0.25p-30=59.50 - 30\)
\( 0.25p=29.5\)
Divide both sides by \( 0.25\):
\( p=\frac{29.5}{0.25}=\frac{29.5\times4}{0.25\times4}=\frac{118}{1}=118\)

Answer:

1. B. \( 30 + 0.25p = 59.50\)
2. C. \( 118\) messages