Kara and Lindsey both hike in separate directions from their campsite, with Kara hiking straight to the east and Lindsey hiking
straight north. At 2:00 p.m., Kara hiked twice as far to the east as Lindsey hiked to the north. At 2:30 p.m., Kara had covered another mile, while Lindsey had
covered another half of a mile. If x represents Lindsey's distance, in miles, from the campsite at 2:00p.m., what function could be used to
represent the area of the triangular region formed by the girls' locations and the campsite at 2:30 p.m.?
Answer: When accounting for distances, Kara walks east double that of Lindsey's northward trek. As x denotes the distance walked by Lindsey, Kara’s distance can aptly be represented as 2x. Including the specified supplemental distances as the scenario develops, we derive the necessary layout and calculate the rectangular area formed accordingly.