a. interval. problem situation? 1. the worked example. c. What does the of change represent in this

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Profit
(thousands of dollars)
O Carnegie Learning, Inc.
ACTIVITY
5.2
Average Rate of Change
and not $600 per year.
dependent variable to the change in the independent variable over
specific interval. The formula for average rate of change is
interval (a, b). The expressionb-a represents the change in the innu
values of the function f The expression f(b) - (a) represents the cha
the output values of the function fas the input values change from oe
Ab) – la)
b-a
for the
Explain why the average rate of change is positive over this
interval.
sk
O yourself:
- What does the average rate of change represent in this
what other
Worked Example
problem situation?
You can determine the average rate of change of Zorzansa's profit for
the time interval (3.25, 4.25).
cion types have
previously
mined the
ge rate of
ge? Is the formula
Zorzansa's Profits Over
Years 0-5
2. Determine the average rate of change of Zorzansa's profits for
the time interval (1, 3).
ame?
p(x) 4
800
-278
279
400
3. Sam has a theory about the average rate of change. Describe
the error in Sam's reasoning.
-400-
-800
Sam
I can quickly estimate the average vate of change for intervals that are above
and below the x-axis because they add to zero. For example, at year I, the profit
is about $300,000 and at year 2.25 the profit is about -$300,000. Therefore, the
average vate of change for the time interval (1, 2.25) is approximately $0.
Time (years)
Substitute the input and output values
into the average rate of change formula.
fib) – fla)_ f(4.25) – f(3.25)
b-a
4.25 - 3.25
Evaluate the expression.
0- (-600)
600
= 600
The average rate of change for the time interval (3.25, 4.25) is
approximately $600,000 per year.
1. example.
The of of a function is the ratio of the change in the
LESSON 5: Level
Transcribed Image Text:Profit (thousands of dollars) O Carnegie Learning, Inc. ACTIVITY 5.2 Average Rate of Change and not $600 per year. dependent variable to the change in the independent variable over specific interval. The formula for average rate of change is interval (a, b). The expressionb-a represents the change in the innu values of the function f The expression f(b) - (a) represents the cha the output values of the function fas the input values change from oe Ab) – la) b-a for the Explain why the average rate of change is positive over this interval. sk O yourself: - What does the average rate of change represent in this what other Worked Example problem situation? You can determine the average rate of change of Zorzansa's profit for the time interval (3.25, 4.25). cion types have previously mined the ge rate of ge? Is the formula Zorzansa's Profits Over Years 0-5 2. Determine the average rate of change of Zorzansa's profits for the time interval (1, 3). ame? p(x) 4 800 -278 279 400 3. Sam has a theory about the average rate of change. Describe the error in Sam's reasoning. -400- -800 Sam I can quickly estimate the average vate of change for intervals that are above and below the x-axis because they add to zero. For example, at year I, the profit is about $300,000 and at year 2.25 the profit is about -$300,000. Therefore, the average vate of change for the time interval (1, 2.25) is approximately $0. Time (years) Substitute the input and output values into the average rate of change formula. fib) – fla)_ f(4.25) – f(3.25) b-a 4.25 - 3.25 Evaluate the expression. 0- (-600) 600 = 600 The average rate of change for the time interval (3.25, 4.25) is approximately $600,000 per year. 1. example. The of of a function is the ratio of the change in the LESSON 5: Level
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