(a) Explanation Given: The graph shows the amount of municipal waste per capita ‘ w’ as a function of per capita income I . The equation of the line passing through (2,100) and (5,400) and value of “x’ is log ( I ) . Formula used: w − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) , where w is the municipal waste, ( x 1 = 2 , y 1 = 100 ) , ( x 2 = 5 , y 2 = 400 ) Calculation: Compute for the formula of the function. The equation of the line which is passing through ( x 1 = 2 , y 1 = 100 ) and ( x 2 = 5 , y 2 = 400 ) This is the straight line curve so, the formula is: w & (b) To determine To calculate: The municipal waste in the city where per capita income is $200,000 using the graph. The graph is:

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ISBN: 8220100802799

Author: Dugopolski

Publisher: PEARSON

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Chapter 4.2, Problem 140E

(a)

To determine

To calculate: The formula for the function from the graph. The graph shows the amount of municipal waste per capita ‘w’ as a function of per capita income I:

(b)

To determine

To calculate: The municipal waste in the city where per capita income is $200,000 using the graph. The graph is:

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Chapter 4.2, Problem 139E

Chapter 4.2, Problem 141E

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The formula for the function from the graph. The graph shows the amount of municipal waste per capita ‘ w’ as a function of per capita income I :

Solution Summary: The author explains how the graph shows the amount of municipal waste per capita (w) as a function of income I.