Final answer:
To find the minimum number of hours it will take Sierra to travel at least 500 miles, divide the remaining distance by the average speed of the train.
Step-by-step explanation:
To find the minimum number of hours it will take Sierra to travel at least 500 miles, we can use the formula time = distance/speed. In this case, the distance Sierra needs to travel is 500 - 248 = 252 miles (since she has already traveled 248 miles). The average speed of the train is 62 miles per hour. Substituting these values into the formula, we have:
time = 252 miles / 62 miles per hour = 4.06 hours
Therefore, the inequality that can be used to find x, the minimum number of hours it will take Sierra to travel at least 500 miles, is:
x > 4.06