Question

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= 2| 1,400
y= 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

Hence, the rate of change is 200 feet per hour.

Explanation:

We are given a a table that 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 1400

4 1000

We know that the rate of change of the situation is defined as the ratio of change in the y-values to the change in the x-values of the table.

Hence, the rate of change is calculated as:

`=(1000-1400)/(4-2)=(400)/(2)\\\\=200`

Hence, the rate of change is 200 feet per hour.

Answer 2

The rate of change would be 200 feet per hour. We find this by subtracting the heights and dividing it by the total number of hours.

That would be 400 feet in 2 hours or just 200 feet per hour.

After 2 hours, the climber had 1,400 feet to go. If we go back 2 hours from there, we would add on another 400 feet. The peak elevation would be 1,800 feet.