The actual distance between Marking City and Jamming City is 87.5 miles.
To determine the actual distance between Marking City and Jamming City, we'll use the given scale of 2 inches representing 35 miles on the map. First, find the scale factor by dividing the actual distance by the map distance:
![\[ \text{Scale Factor} = \frac{\text{Actual Distance}}{\text{Map Distance}} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/b2ygpx0zlzva954hi2gpzqgnjslmoiv4s9.png)
Let D be the actual distance. The map distance is 5 inches, and the scale factor is
miles per inch. So,
![\[ (D)/(5) = (35)/(2) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/b1465d2kt2yifounepdbi81zc3ryfc0mmp.png)
Now, solve for D:
![\[ D = 5 * (35)/(2) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/pat9y0ubjg1gqo4jjw0kpj81nw4g90kyr5.png)
D = 87.5
Therefore, the actual distance between Marking City and Jamming City is 87.5 miles. The scale factor allows us to convert map distances to actual distances, providing an accurate representation of the physical distance between the two cities.