Question

The correct answer in the Box

The table shows the elevation in feet that a hiker has yet to climb before reaching the peak in terms of the number hours hiked.

x
y
2
1,400
4
1,000
In a function for this situation, the rate of change is ______
feet per hour and the peak is at an elevation of
feet.

Answer 1

Rate of change = (1000 − 1400)/(4 − 2) = −400/2 = −200 feet per hour.

Linear model: y = −200x + 1800, so the peak is 1,800 feet above the starting elevation.