A family goes on a trip. They drive 55 mph. Write an equation using two variables to show the relationship between the number of hours driven, h and the total amount of miles drive, m. How far did the drive after 4 hours?

1 answer

To express the relationship between the number of hours driven \( h \) and the total amount of miles driven \( m \), we can use the formula for distance:

\[ m = r \cdot h \]

where \( r \) is the rate of speed. In this case, the family's driving speed is 55 miles per hour, so we can substitute \( r \) with 55:

\[ m = 55h \]

To find out how far they drove after 4 hours, we can substitute \( h \) with 4 in the equation:

\[ m = 55 \cdot 4 \] \[ m = 220 \]

So, the family drove 220 miles after 4 hours.