To find the total miles Wendy jogs in a week, we first need to calculate the length of the nature trail.
- The length of the route in the city is 5.5 miles.
- The length of the nature trail is 1.5 times as long as the city route: \[ \text{Length of nature trail} = 5.5 \times 1.5 = 8.25 \text{ miles} \]
Now we add the distances she jogs in both locations:
\[ \text{Total miles} = \text{City route} + \text{Nature trail} = 5.5 + 8.25 \]
To add these, we can align the decimal points:
\[ \begin{array}{r} 5.50 \
- 8.25 \ \hline 13.75 \ \end{array} \]
Wendy jogs a total of 13.75 miles each week.