Final answer:
The student's car had an average speed of 52 miles per hour during the three and a half hours between the odometer readings at noon and 3:30pm.
Step-by-step explanation:
To calculate the average rate of change, also known as average speed, of the student's car from the odometer readings, we need to use the formula:
average speed = total distance / total time
First, we find the total distance traveled by subtracting the initial odometer reading from the final odometer reading:
7034 miles - 6852 miles = 182 miles
Next, we convert the time from hours and minutes to hours:
3 hours and 30 minutes = 3.5 hours
Now we divide the total distance by the total time to find the average speed:
average speed = 182 miles / 3.5 hours = 52 miles/hour
The student's car had an average speed of 52 miles per hour during the three and a half hours.