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At noon, my odometer read 6852 miles. At 3:30pm it read 7034 miles. What was my average rate of change during these three and a half hours?

User Yehudis
by
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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.

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