Final answer:
Sara and her family can travel 814 miles in 11 hours at an average speed of 74 miles per hour, which is the same average speed at which they traveled 444 miles in 6 hours.
Step-by-step explanation:
The question requires us to calculate the distance Sara and her family can travel in 11 hours, given they traveled 444 miles in 6 hours. To find the average speed of their travel, we divide the distance by the time. The speed can be calculated by taking 444 miles divided by 6 hours, which equals 74 miles per hour.
To determine how many miles they can travel in 11 hours at the same rate, we multiply the speed by the new time. So, 74 miles/hour multiplied by 11 hours equals 814 miles. Therefore, Sara and her family can travel 814 miles in 11 hours if they continue at the same average speed.