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Math Calculus EBK FINITE MATH AND APPLIED CALCULUS

World Military Expenditure The following chart shows total military and arms trade expenditure from 1992–2010 ( t = 0 represents 1990). 2 Source: www.globalissues.org/Geopolitics/ArmsTrade/Spending.asp. a. If you want to model the expenditure figures with a function of the form f ( t ) = a t 2 + b t + c , would you expect the coefficient a to be positive or negative? Why? [ HINT: See “Features of a Parabola” in this section.] b. Which of the following models best approximates the data given? (Try to answer this without actually computing values.) A. f ( t ) = 4 t 2 − 56 t − 1 , 300 B. f ( t ) = − 4 t 2 − 56 t + 1 , 300 C. f ( t ) = 4 t 2 − 56 t + 1 , 300 D. f ( t ) = − 4 t 2 − 56 t − 1 , 300 c. What is the nearest year that would correspond to the vertex of the graph of the correct model from part (b)? What is the danger of extrapolating the data in either direction?

World Military Expenditure The following chart shows total military and arms trade expenditure from 1992–2010 ( t = 0 represents 1990). 2 Source: www.globalissues.org/Geopolitics/ArmsTrade/Spending.asp. a. If you want to model the expenditure figures with a function of the form f ( t ) = a t 2 + b t + c , would you expect the coefficient a to be positive or negative? Why? [ HINT: See “Features of a Parabola” in this section.] b. Which of the following models best approximates the data given? (Try to answer this without actually computing values.) A. f ( t ) = 4 t 2 − 56 t − 1 , 300 B. f ( t ) = − 4 t 2 − 56 t + 1 , 300 C. f ( t ) = 4 t 2 − 56 t + 1 , 300 D. f ( t ) = − 4 t 2 − 56 t − 1 , 300 c. What is the nearest year that would correspond to the vertex of the graph of the correct model from part (b)? What is the danger of extrapolating the data in either direction?

Solution Summary: The author explains that the nature of coefficient a is positive. The best quadratic model that can best represent the following data is shown below.

EBK FINITE MATH AND APPLIED CALCULUS

EBK FINITE MATH AND APPLIED CALCULUS

7th Edition

ISBN: 8220103612005

Author: Costenoble

Publisher: CENGAGE L

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Chapter 2.1, Problem 25E

World Military Expenditure The following chart shows total military and arms trade expenditure from 1992–2010 ( t = 0 represents 1990).²

Chapter 2.1, Problem 25E, World Military Expenditure The following chart shows total military and arms trade expenditure from

Source: www.globalissues.org/Geopolitics/ArmsTrade/Spending.asp.

a. If you want to model the expenditure figures with a function of the form

f ( t ) = a t 2 + b t + c , would you expect the coefficient a to be positive or negative? Why? [HINT: See “Features of a Parabola” in this section.]

b. Which of the following models best approximates the data given? (Try to answer this without actually computing values.)

A. f ( t ) = 4 t 2 − 56 t − 1 , 300

B. f ( t ) = − 4 t 2 − 56 t + 1 , 300

C. f ( t ) = 4 t 2 − 56 t + 1 , 300

D. f ( t ) = − 4 t 2 − 56 t − 1 , 300

c. What is the nearest year that would correspond to the vertex of the graph of the correct model from part (b)? What is the danger of extrapolating the data in either direction?

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Chapter 2.1, Problem 24E

Chapter 2.1, Problem 26E

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Chapter 2 Solutions

EBK FINITE MATH AND APPLIED CALCULUS

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