Final answer:
Marcus traveled a total of 523.5 miles on his trip to Corpus Christi. This was calculated by multiplying his average speeds (65 mph for 3.5 hours and 74 mph for 4 hours) by their respective times and then adding the distances from both parts of the trip.
Step-by-step explanation:
The total distance Marcus traveled on his trip to Corpus Christi can be calculated by adding the distance he traveled at each part of the trip. Since speed equals distance divided by time, we can find each distance by multiplying Marcus's speed by the time he traveled at that speed.
For the first part of the trip, Marcus traveled at an average speed of 65 miles per hour for 3.5 hours. The distance for this part of the trip is calculated as:
Distance = Speed × Time = 65 mph × 3.5 h = 227.5 miles
For the second part of the trip, Marcus traveled at an average speed of 74 miles per hour for 4 hours. The distance for this part of the trip is calculated as:
Distance = Speed × Time = 74 mph × 4 h = 296 miles
To find the total distance traveled, we add the distances from both parts of the trip:
Total Distance = 227.5 miles + 296 miles = 523.5 miles
Therefore, Marcus traveled a total of 523.5 miles on his trip to Corpus Christi.