30. Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. The variable x represents the number of years since 1950. (a) What was the average rate of change of P between x = 20 and x = 40? (b) Interpret the value of the average rate of change that you found in part (a). P (thousands) 4 50 40 30 20 10 10 20 30 40 50 (yr)
30. Population Growth and Decline The graph shows the population P in a small industrial city from 1950 to 2000. The variable x represents the number of years since 1950. (a) What was the average rate of change of P between x = 20 and x = 40? (b) Interpret the value of the average rate of change that you found in part (a). P (thousands) 4 50 40 30 20 10 10 20 30 40 50 (yr)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Transcribed Image Text:30. Population Growth and Decline The graph shows the
population P in a small industrial city from 1950 to 2000.
The variable x represents the number of years since 1950.
(a) What was the average rate of change of P between
x = 20 and x = 40?
(b) Interpret the value of the average rate of change that you
found in part (a).
P
(thousands) 4
50
40
30
20
10
10 20
30 40 50 (yr)
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