To find out how many miles Wendy jogs in total each week, we first need to calculate the length of the nature trail.
Given that the city route is 5.5 miles and the nature trail is 1.5 times as long, we can compute the length of the nature trail as follows:
\[ \text{Length of nature trail} = 1.5 \times \text{Length of city route} = 1.5 \times 5.5 \]
Calculating this gives:
\[ 1.5 \times 5.5 = 8.25 \text{ miles} \]
Next, we add the distance of both routes to find the total distance Wendy jogs each week:
\[ \text{Total distance} = \text{Length of city route} + \text{Length of nature trail} = 5.5 + 8.25 \]
Now we calculate:
\[ 5.5 + 8.25 = 13.75 \text{ miles} \]
Thus, Wendy jogs a total of
\[ \boxed{13.75} \]
miles each week.