Question

Question
Use the table to answer the question.

Height Above Canyon Floor Over Time
Height Above Canyon Floor
360
300
160
80
Time (minutes)
0
3
10
14
Which statement best interprets the rate of change of the linear model shown in the table?

(1 point)
Responses

The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute.
The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute.

The elevation of a hiker who is hiking down to a canyon floor changes at a rate of −20
feet per minute.
The elevation of a hiker who is hiking down to a canyon floor changes at a rate of negative 20 feet per minute.

The elevation of a hiker who is hiking up from canyon floor changes at a rate of −20
feet per minute.
The elevation of a hiker who is hiking up from canyon floor changes at a rate of negative 20 feet per minute.

The elevation of a hiker who is hiking down to a canyon floor changes at a rate of 20 feet per minute.

Answer 1

The correct choice is: "The elevation of a hiker who is hiking down to a canyon floor changes at a rate of −20 feet per minute."

Explanation: slope = (change in height)/(change in time) = (300−360)/(3−0) = −60/3 = −20 ft/min (consistent for all intervals), so the hiker is descending 20 feet per minute.