Final answer:
Aaron is driving at a constant speed of 64 miles per hour on his road trip, calculated by dividing the distance of 480 miles by the time it takes to use a full tank of gas, which is 7.5 hours.
Step-by-step explanation:
To determine the constant speed at which Aaron is driving, we need to use the information that after using one full tank of gas, he has driven 480 miles. We also know that after 2.5 hours, he has used 1⁄3 of a tank of gas. Since a full tank gets him 480 miles, we can calculate his speed using the formula for average speed, which is distance divided by time.
First, we need to find out the time it takes for Aaron to use the full tank. If 1⁄3 of a tank is used in 2.5 hours, it takes 2.5 hours × 3 = 7.5 hours to use one full tank. Now we can calculate the speed:
Aaron's Speed = Total Distance ⁄ Total Time
Aaron's Speed = 480 miles ⁄ 7.5 hours
Aaron's Speed = 64 miles per hour (mph)