The graph adequately represents the following case
"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."
Step-by-step explanation:
To solve the above-mentioned problems we need to filter the results through analysing the options given-
We have to keep in mind that-
- For an increase in value/quantity- the graph would be on an upswing
- For decrease in value/quantity- The graph would be in declining mode
- For constant value- horizontal graph line parallel to the x-axis
Now going through the options-
option 1:-
David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.
option 2:-
test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.
option 3:-
After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.
option 4:-
Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph
Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function 
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function over [2,4]
The rate of change is the slope of the line,
So, 
Substitute,
Therefore, The average rate of change is -3.
Answer:
a) 27. b) 8/3
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