Concept explainers
a.
To find what type of function represents the numbers of donations collected by organizations A, B, C.
a.
Explanation of Solution
Given:
The organization A quadruples each hour in number of donations and the organization B and C have the following tables and graphs respectively-
Calculation:
Organization A has a common ratio of
Organization B has a common difference of
Organization C represents parabola so its function is quadratic.
b.
To find the average rate of change of each function for each 1-hour interval from
b.
Explanation of Solution
The average rate of change can be calculated as follows for each function-
Organization A Organization B Organization C
From
From
From
From
From
From
c.
To find for which function the average rate of change increase most quickly.
c.
Answer to Problem 33E
Organization A
Explanation of Solution
From the part (b) it is clear that for organization A, the average rate of change increase most quickly. The number of donations increases as the number of hours increases.
Chapter 8 Solutions
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