This is because
And
For this reason,
Positive indices mean we have to multiply the same number twice or thrice based on the value of the index. On the other hand, negative indices mean we have to divide by the same number twice or thrice based on the value of the index.
Answer:
f(x) = -4x + 20
Refer attachment for graph.
Step-by-step explanation:
Given: when Zane was 20 meters below the edge of a volcano. He heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.
We have to graph Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds).
Let he takes x seconds to get out of the volcano.
and y be the distance covered by the volcano to reach Zane.
Then, to reach the edge of volcano,
Thus, The equation that represent Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds). is given by
f(x) = -4x + 20
At x = 0 the Zane will be at f(0) = 20 that is 20 meter below the volcano.
Thus points are (0,20)
and when x = 5 Zane will be escaped from volcano.
Thus points are (5,0)
Plot this and obtained the graph for the given equation as attached below.
