Final answer:
The Collins family will travel 682 miles in eleven hours, given their average speed of 62 miles per hour, making the correct answer A) 682 miles.
Step-by-step explanation:
The question asks us to find out how far the Collins family will travel if they continue at the same rate for eleven hours. We begin by calculating the family's average speed during their eight-hour trip, where they traveled 496 miles.
To find the average speed, we divide the total distance traveled by the total time taken:
Average Speed = Total Distance Traveled / Total Time Taken
Average Speed = 496 miles / 8 hours = 62 miles per hour.
Now, we multiply the average speed by the number of hours they plan to travel next, which is eleven hours:
Distance Traveled in Eleven Hours = Average Speed x Time
Distance Traveled in Eleven Hours = 62 miles/hour x 11 hours = 682 miles.
Therefore, the Collins family will travel 682 miles in eleven hours, which corresponds to answer choice A) 682 miles.