Final answer:
It will take 21 hours to drive to Houston.
Step-by-step explanation:
To find the number of hours it will take to drive to Houston, we can use the concept of speed. We know that the family drove to Jacksonville in 14 hours and the distance was 950 miles. So, we can calculate the speed as distance divided by time: 950 miles / 14 hours = 67.86 miles per hour.
Now, using the same speed, we can find the time it would take to drive to Houston. The distance to Houston is 1425 miles. So, the time it will take can be calculated as distance divided by speed: 1425 miles / 67.86 miles per hour = 21 hours.
Therefore, it will take 21 hours to drive to Houston. So, the correct answer is A) 21 hours.