Answer:
See attachment
Step-by-step explanation:
Given : Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.
We have to Graph the function that represents the given situation.
Let the y - axis represents the height of Jennifer (in feet) and x axis represents the time (in minutes)
Since initially, Jennifer is at 4000 feet.
and is descending with an average speed of 40 feet per minute.
So when she begins to descend she is at 4000 feet that is y- intercept is 4000.
Then, the equation of graph is given by
y = -40x + 4000
As she is descending at the rate of 40 feet per minute so -40x
Thus, The graph for the given equation can be drawn as shown below.
also, when x = 100
then y = -40(100) - 4000 = 0
Plot points (0, 4000) , (100,0) to obtain the graph.