Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

592 Chapter 18 Mathematics in Engineering

2

accompanying Table 10.4, we can then approximate the density of air at 7300 m using linear

interpolation in the following manner:

and solving for density of air at 7300 m, we get @73000.578 kg /m

3

.

8000  7300

8000  7000



0.526density of air @ 7300 m

0.5260.590

BC

AC



BD

A E

TABLE 18.4 A Summary of Linear Models and Their Characteristics

Linear Model Characteristics

yaxb Slopeaandy-interceptb.

yb Slope zero,y-interceptb, and

horizontal line going through

pointbonyaxis.

xc Undefined slope, x-interceptc,

and vertical line going through

pointcon xaxis.

c 1 xc 2 yc 3 General form withx- and

y-intercepts, slope c 1 /c 2 ,

y-intercept c 3 /c 2 , and

x-intercept c 3 /c 1.

y

x

b

y

x

c

y

x

b

a 

y

y x

x

y

x

Slope  

c 1

c 2

c 3

c 1

c 3

c 2

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