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.?
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.?
1 answer:
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Answer:
Step-by-step explanation:
We have that:
When we substitute n=1, we get:
When we substitute n=2 we get:
When we substitute n=3, we get:
When we substitute n=n+1, we get:
Now
We expand and simplify to obtain: