Aaron's cell phone company charges $48 a month for phone service plus $0.25 for each text message. Aaron's total phone bill this month was $62. Write the equation you could use to solve for the total number of text messages (t) that Aaron sent this month. Then, solve the equation to determine how many text messages Aaron sent.(4 points)

Question

Equation- use t for the variable:

Answer 1

To write the equation for Aaron's total phone bill, we start with the fixed monthly charge and add the cost per text message multiplied by the number of text messages.

The equation can be expressed as:

\[ 48 + 0.25t = 62 \]

Where:

• \(48\) is the monthly service charge,
• \(0.25t\) is the cost for \(t\) text messages,
• \(62\) is the total phone bill.

Now, we can solve for \(t\):

1. Subtract \(48\) from both sides to isolate the term with \(t\):

\[ 0.25t = 62 - 48 \] \[ 0.25t = 14 \]

2. Divide both sides by \(0.25\) to solve for \(t\):

\[ t = \frac{14}{0.25} \] \[ t = 56 \]

Therefore, Aaron sent 56 text messages this month.