Answer:
Therefore, by the slope of the graph person hiking faster will be Simon.
Explanation:
We are given that;
Simon's elevation and time are 2500,1700,900 and 0,30,60.
Natalia elevation and time 1000,1250, 2500 and 30,40,80
Now,
To compare the rates at which Natalie and Simone are hiking, we need to calculate their respective rates of change. We can do this by finding the slope of each of their linear functions.
For Natalie, the two points we can use to find the slope of her linear function are (30, 1000) and (80, 2500):
slope = (change in elevation) / (change in time)
= (2500 - 1000) / (80 - 30)
= 1500 / 50
= 30
Natalie's rate of ascent is 30 feet per minute.
For Simone, we can calculate the slope of her linear function using any two points on the line. Using (0, 2500) and (60, 900):
slope = (change in elevation) / (change in time)
= (900 - 2500) / (60 - 0)
= -1600 / 60
= -40/3
Simone's rate of descent is 40/3 feet per minute.
Therefore, by the slope of the graph person hiking faster will be Simon.