Answer:
A. London's elevation changes 3/4 inches per minute in this interval
B. The maximum change of the elevation occurs during the interval from 14 to 18 minutes
Step-by-step explanation:
Slope Of A Line
If a line is defined by two points of coordinates (a,b) and (c,d), the slope can be computed as
[tex]\displaystyle m=\frac{d-b}{c-a}[/tex]
The graph shows four zones of the function. From 0 to 4 minutes, the height remains constant which means a change (or slope) zero. From 4 to 8 minutes, the height goes up and from 14 to 18 minutes, it goes down.
Part A
We need to calculate the slope between the point (4,3) and (8,6)
[tex]\displaystyle m_1=\frac{6-3}{8-4}=\frac{3}{4}[/tex]
London's elevation changes 3/4 inches per minute in this interval
Part B
We need to compute the slope from 14 to 18 minutes. The points will be selected as (16,5) and (18,3)
[tex]\displaystyle m_2=\frac{3-5}{18-16}=-1[/tex]
The change is 1 inch per minute. It's negative, but it represents a faster change of the elevation than the positive value.
When compared to the previous value, we can conclude the maximum change of the elevation occurs during the interval from 14 to 18 minutes
