To find out how many miles Wendy jogs in all each week, we first need to calculate the length of the nature trail.
The length of the nature trail is 1.5 times the length of the city route. Since the city route is 5.5 miles, we can calculate the length of the nature trail as follows:
\[ \text{Length of nature trail} = 1.5 \times 5.5 = 8.25 \text{ miles} \]
Now, we add the lengths of both routes to find the total distance Wendy jogs each week:
\[ \text{Total distance} = \text{Length of city route} + \text{Length of nature trail} \] \[ \text{Total distance} = 5.5 \text{ miles} + 8.25 \text{ miles} = 13.75 \text{ miles} \]
Thus, the total distance Wendy jogs each week is:
\[ \boxed{13.75} \text{ miles} \]