Final answer:
The question regarding Lanye's bike trip is missing necessary details to determine the difference in distances. It typically involves analyzing a two-dimensional path and calculating displacement and distance in Mathematics.
Step-by-step explanation:
To determine how much farther Lanye's trip would have been if he took Orange Drive and Peach Avenue instead of Cherry Street, we would need additional information about the distances of Orange Drive and Peach Avenue, as well as Cherry Street. However, based on the provided answer choices, it seems like this question is missing the necessary details to calculate a concrete answer about the difference in distances. Typically, such a mathematics problem would require the lengths of each route to solve it. In Mathematics, this type of problem often involves analyzing a two-dimensional path, which may explore concepts like displacement and distance.
As for the reference provided, it relates to understanding distance and displacement in certain scenarios. For example, if a biker rides west for 50 miles from his starting position, then turns and bikes back east 80 miles, his net displacement would be 30 miles east - the difference between the total distance traveled west and east.