A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours.[list=1][*]How far is the campsite from their car? Explain how you know.[/*][*]Write an equation that describes the relationship between d and h.[br] [/*][*]After how many hours will the hikers be 16 miles from their car? Explain or show your reasoning.[/*][/list][img]https://cdn.openupresources.org/uploads/pictures/8/8.3.B7.PP.hike.png[/img]
[list=1][*]4 miles. The y-intercept represents this initial distance before the start of the hike.[/*][*]d=4+3h[/*][*]4 hours. Explanations vary. Sample response: On the graph, d=16when h=4. The equation can be used to solve for h when d=16: 16=4+3h, 12=3h and h=4.[/*][/list]