We can see that the distances biked form an arithmetic sequence with a common difference of 0.4:
4, 4.4, 5.3, 6.8, ...
To find the distance biked on the seventh day, we can continue this sequence for three more terms:
4, 4.4, 5.3, 6.8, 7.2, 7.7, 8.2
Therefore, you would bike 8.2 miles on the seventh day if you continue this pattern.