To establish the relationship between the number of hours driven \( h \) and the total amount of miles driven \( m \), we can use the equation:
\[ m = 65h \]
This equation shows that the total miles driven \( m \) is equal to the speed (65 miles per hour) multiplied by the number of hours driven \( h \).
To find out how far they drove after 7 hours, we can substitute \( h = 7 \) into the equation:
\[ m = 65(7) = 455 \]
So, they drove a total of 455 miles after 7 hours.