Question

Height above canyon floor to time (minutes)
360 to 0
280 to 3
160 to 10
80 to 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 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.
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 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.

Answer 1

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

(Find slope: (80 − 360)/(14 − 0) = −280/14 = −20 ft/min; negative means descending.)