4) The function R(t) below represents the growth of a population over time, where t is measured in years after 2000. R(t) aso goutly dean R(t) 200 P 240 600 346 soo 4. 415 450 400 6. 597 300- 7. 717 250 8 200 150 100 50 Part A: Does the function appear to be linear, exponential, or periodic? Explain your reasoning. If you wish, you may graph the function, but this is optional. This graph is exponteal be cuur its constant gowth. Part B: When asked to complete the table, a student stated that R(2) = 288, R(5) = 518, and R(8) = 860. Were the student's answers correct? If not, find the correct value. Part C: What would you expect the population to be in 2015? 123

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6:31 PM Wed Sep 8
Copyright © 2021, The Charles A. Dana Center at The University of Texas at Austin
stehing
Point
Reasoning with Functions 1 Second Edition (2021)
Student Pages
こ 2
The function R(t) below represents the growth of a population over time, where t
4)
measured in years after 2000.
e is)
R(t)
850
gouitly
dear
R(t)
800
200
750
700
1
240
650
600
346
E S50-
4.
415
450
400
350
6.
597
lo 200
717
250
8.
200
150
100
50-
6
8
Part A: Does the function appear to be linear, exponential, or periodic? Explain
your reasoning. If you wish, you may graph the function, but this is optional.
This graph is expantial be cuur its constant gowth.
Part B: When asked to complete the table, a student stated that R(2) = 288,
R(5) = 518, and R(8) = 860. Were the student's answers correct? If not,
find the correct value.
%3D
Part C: What would you expect the population to be in 2015?
Transcribed Image Text:6:31 PM Wed Sep 8 Copyright © 2021, The Charles A. Dana Center at The University of Texas at Austin stehing Point Reasoning with Functions 1 Second Edition (2021) Student Pages こ 2 The function R(t) below represents the growth of a population over time, where t 4) measured in years after 2000. e is) R(t) 850 gouitly dear R(t) 800 200 750 700 1 240 650 600 346 E S50- 4. 415 450 400 350 6. 597 lo 200 717 250 8. 200 150 100 50- 6 8 Part A: Does the function appear to be linear, exponential, or periodic? Explain your reasoning. If you wish, you may graph the function, but this is optional. This graph is expantial be cuur its constant gowth. Part B: When asked to complete the table, a student stated that R(2) = 288, R(5) = 518, and R(8) = 860. Were the student's answers correct? If not, find the correct value. %3D Part C: What would you expect the population to be in 2015?
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