Final answer:
Brandon's constant rate of speed for his trip from Florida to Virginia, based on the total distance of 405 miles and the total travel time of 9 hours, is calculated to be 45 miles per hour.
Step-by-step explanation:
The question requires solving for Brandon's constant rate of speed during his trip from Florida to Virginia. To calculate this, we need to determine the total distance traveled and the total time spent traveling. Brandon travels for the first two hours covering 90 miles, for the next four hours he covers another 180 miles, and in the last three hours an additional 135 miles.
To find the constant speed, we use the formula:
Vavg = total distance / total time
In Brandon's case, the total distance is the sum of the distances for each part of the trip:
- 90 miles + 180 miles + 135 miles = 405 miles
The total time is the sum of the time for each part of the trip:
- 2 hours + 4 hours + 3 hours = 9 hours
Therefore, his average speed is:
405 miles / 9 hours = 45 miles/hour
So, Brandon's constant rate of speed during the trip was 45 miles per hour.