Answered: Year t (year since 2000) 0 6 12…

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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This question has several parts that must be completed sequentially.

The following table shows total military and arms trade expenditure for a certain country in 2000, 2006, and 2012.

Year t (year since 2000)	0	6	12
Military Expenditure C(t) ($ billion)	40	270	510

(a)

Compute and interpret the average rate of change of C(t) over the period 2006–2012 (that is, [6, 12]). Be sure to state the units of measurement.

(b)

Compute and interpret the average rate of change of C(t) over the period [0, 12]. Be sure to state the units of measurement.

Recall that the average rate of change of f(x) over the interval [a, b] is the change in f divided by the change in x. The symbol Δ means "change in."

average rate of change of

f =

change in f

change in x

Δf

Δx

f(b) − f(a)

b − a

Note that the given chart provides data points in the form of (t, C(t)).

Year t (year since 2000)	0	6	12
Military Expenditure C(t) ($ billion)	40	270	510

In the year 2000, t = 0 and C(0) = 40.
In the year 2006, t = 6 and
C(6) = .
In the year 2012, t = 12 and
C(12) = .

The average rate of change notation for this question is

ΔC

/ Δ

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