Explanation Given: The shape of the parks is quadrilateral and its corners are ( 0 , 0 ) , ( 0 , 20 ) , ( 40 , 20 ) and ( 20 , 40 ) Draw the graph of the point as shown in below Figure 1. From Figure 1, it is observed that the park region are covered by the points ( 0 , 0 ) , ( 0 , 20 ) , ( 40 , 20 ) and ( 20 , 40 ) . Obtain the line equation in between the points ( 0 , 0 ) and ( 40 , 20 ) as follows. In order to find the line equation, first find the slope of the function as follows. Substitute x 1 = 0 , y 1 = 0 , x 2 = 40 and y 2 = 20 in m = y 2 − y 1 x 2 − x 1 . m = 20 − 0 40 − 0 = 20 40 = 1 2 Obtain the line equation in between the points ( 0 , 0 ) and ( 40 , 20 ) as follows. Substitute m = 1 2 , x 1 = 40 and y 1 = 20 in y − y 1 = m ( x − x 1 ) . y − 20 = 1 2 ( x − 40 ) y − 20 = 1 2 x − 20 y = 1 2 x Thus, the park is above this line y = 1 2 x . That is y ≥ 1 2 x . Obtain the line equation in between the points ( 20 , 40 ) and ( 40 , 20 ) as follows. In order to find the line equation, first find the slope of the function as follows. Substitute x 1 = 20 , y 1 = 40 , x 2 = 40 and y 2 = 20 in m = y 2 − y 1 x 2 − x 1 . m = 20 − 40 40 − 20 = − 20 20 = − 1 Obtain the line equation in between the points ( 20 , 40 ) and ( 40 , 20 ) as follows

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 17, Problem 91RE

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The park region with inequalities and find the these inequalities.

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Chapter 17 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 17.1 - For −6 < 3, determine the inequality if 1. 8 is...Ch. 17.1 - Prob. 2PE Ch. 17.1 - For the inequality −6 < 3, state the inequality...Ch. 17.1 - Prob. 4PE Ch. 17.1 - Prob. 5PE Ch. 17.1 - In Exercises 1–4, make the given changes in the...Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...

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