ANSWER
Yes, it can.
EXPLANATION
First of all, let us sort the data according to increasing value:
Time (minutes) 18 20 20 22 22 23 25 30
Duration (minutes) 38 40 42 41 42 44 47 52
As we can already see, the duration of the ride seems to increase as the amount of time after 8 am that she got on the bus.
This means that the Duration of the ride and the time Layne got on the bus have a linear relationship and so, YES, the duration of the ride can be represented as a function of the time Layne got on the bus.