SOLUTION: Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campground. After 4 h, she is 6 mi from the campground. A g

Algebra ->  Linear-equations -> SOLUTION: Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campground. After 4 h, she is 6 mi from the campground. A g      Log On


   



Question 1160996: Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campground. After 4 h, she is 6 mi from the campground. A graph shows her distance from the campground y, in miles, after x hours. What is the slope of the graph, and what does it represent?
A. 20; Rachel's initial distance from the campground
B. −3.5; the rate at which Rachel's distance from the campground changes per hour
C. 3.5; Rachel's initial distance from the campground
D. 20; Rachel's final distance from the campground

Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Points as time x, distance from camp y, (x,y):
(0,20), (2,13), (4,6).

y=mx%2B20
-
m=%2813-20%29%2F2=%286-13%29%2F2
m=-7%2F2=-7%2F2
-
highlight%28y=-7x%2F2%2B20%29


She is hiking at 3.5 miles per hour.