For his phone service, Goran pays a monthly fee of \( \$ 21 \), and he pays an additional \( \$ 0.04 \) per minute of use. The least he has been charged in a month is \( \$ 68.40 \). What are the possible numbers of minutes he has used his phone in a month? Use \( m \) for the number of minutes, and solve your inequality for \( m \).

To find the possible number of minutes Goran has used his phone in a month, we start with the total cost formula: \[ \text{Total Cost} = \text{Monthly Fee} + \text{Cost per Minute} \times \text{Number of Minutes} \] Given that the monthly fee is \( \$ 21 \) and the cost per minute is \( \$ 0.04 \), we can express the total cost as: \[ \text{Total Cost} = 21 + 0.04m \] We know that the least he has been charged in a month is \( \$ 68.40 \): \[ 21 + 0.04m \geq 68.40 \] Next, we can isolate \( m \) in this inequality: 1. Subtract \( 21 \) from both sides: \[ 0.04m \geq 68.40 - 21 \] 2. Calculate the right-hand side: \[ 0.04m \geq 47.40 \] 3. Now, divide both sides by \( 0.04 \): \[ m \geq \frac{47.40}{0.04} \] 4. Calculate the division: \[ m \geq 1185 \] Thus, the possible number of minutes Goran has used his phone in a month is \( m \geq 1185 \). This means he talked for at least 1185 minutes.