How do i show the work where 69 miles per hours is proportional to the number of hours

1. First, label the axis on your graph, with units:

time on the x-axis, in units of hours;

distance on the y-axis, in units of miles.

2. Draw a graph of distance vs. time. Distance after the first hour = 69 miles, distance after the 2nd hour = 138 miles, etc.

3. Observe that this graph is a STRAIGHT LINE with constant slope. Therefore the relationship is PROPORTIONAL.

For every other kind of graph -- i.e. not a straight line -- the relationship is NON-PROPORTIONAL.

Hope this helps.