Question

Use the table to answer the question.

Height Above Canyon Floor Over Time
Height Above Canyon Floor | Time (minutes)
360 | 0
280 | 3
160 | 10
80 | 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 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 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 up from a canyon floor changes at a rate of 20 feet per minute.

Answer 1

Use the endpoints (0, 360) and (14, 80): slope = (80 − 360)/(14 − 0) = −280/14 = −20.

So the elevation is decreasing at 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."