Questions: For her phone service, Leila pays a monthly fee of 30, and she pays an additional 0.06 per minute of use. The least she has been charged in a month is 109.02. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Solution Steps

Leila's total monthly cost consists of a fixed fee of \$30 plus \$0.06 per minute of use. The least she has been charged is \$109.02. This can be expressed as: \[ 30 + 0.06m \geq 109.02 \]

Subtract the fixed fee of \$30 from both sides of the inequality to isolate the term with \( m \): \[ 0.06m \geq 109.02 - 30 \] \[ 0.06m \geq 79.02 \]

Divide both sides of the inequality by \$0.06 to solve for \( m \): \[ m \geq \frac{79.02}{0.06} \] \[ m \geq 1317 \]

Final Answer