Your cellular phone contract calls for a flat monthly service charge of $10.95 plus $0.12 per minute for calls within a certain area to which you limit your calls. The table shows some cost data for your use of the phone.Number of MinutesMonthly Cost (dollars)10022.9512025.3514027.7516030.15Does the data represent a linear function? Why or why not?

Each increase of 20 minutes raises the monthly cost by $2.40: $25.35 − $22.95 = $2.40, $27.75 − $25.35 = $2.40, and $30.15 − $27.75 = $2.40. The rate of change is therefore constant at $2.40 ÷ 20 = $0.12 per minute, matching the contract. The data represent a linear function, so the correct choice is “Yes, the average rate of change is constant.”

AI-written and checked against the verified answer.