Explanation Given: In southwest Georgia, the average pine small sawtimber prices vary predictably over the course of the year, primarily because of weather. Prices in 2009 followed this pattern. At the beginning of the year, the average price P was $ 18 per ton . During the first two quarters of the year, prices declined steadily to $ 16 per ton . During the last two quarters of the year, prices decreased down to $ 15 per ton and then went back to $ 16 per ton . Approach: The formula for slope m of a line passing through points ( x 1 , y 1 ) and ( x 2 , y 2 ) is m = y 2 − y 1 x 2 − x 1 … ( 1 ) The formula for the equation of the line is ( x 1 , y 1 ) and ( x 2 , y 2 ) is y − y 1 = m ( x − x 1 ) … ( 2 ) Calculation: From the given information, ( x 1 , y 1 ) = ( 0 , 18 ) and ( x 2 , y 2 ) = ( 2 , 16 ) To determine (b) To find: A formula for price P as a function of t , the quarter, that describes the price throughout the third and fourth quarters. To determine (c) To graph: The price over the course of a year To determine (d) To find: A formula for price P throughout the year as a piecewise defined function of t .

Webassign Printed Access Card For Crauder/evans/noell's Functions And Change: A Modeling Approach To College Algebra, 6th Edition, Single-term

6th Edition

ISBN: 9781337652537

Author: Crauder, Bruce; Evans, Benny; Noell, Alan

Publisher: Cengage Learning

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Chapter 5.4, Problem 20E

To determine

(a)

To find:

The formula for P that describes the price during the first two quarters.

To determine

(b)

To find:

A formula for price P as a function of t, the quarter, that describes the price throughout the third and fourth quarters.

To determine

(c)

To graph:

The price over the course of a year

To determine

(d)

To find:

A formula for price P throughout the year as a piecewise defined function of t.

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Chapter 5.4, Problem 19E

Chapter 5.4, Problem 1SBE

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Webassign Printed Access Card For Crauder/evans/noell's Functions And Change: A Modeling Approach To College Algebra, 6th Edition, Single-term

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(a) To find: The formula for P that describes the price during the first two quarters.

Solution Summary: The author explains the formula for price P as a function of t, which describes the price during the first two quarters of the year.

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(a) To find: The formula for P that describes the price during the first two quarters.

(b) To find: A formula for price P as a function of t, the quarter, that describes the price throughout the third and fourth quarters.

(c) To graph: The price over the course of a year

(d) To find: A formula for price P throughout the year as a piecewise defined function of t.

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Chapter 5 Solutions

(a)

To find:

The formula for P that describes the price during the first two quarters.

(b)

To find:

A formula for price P as a function of t, the quarter, that describes the price throughout the third and fourth quarters.

(c)

To graph:

The price over the course of a year

(d)

To find:

A formula for price P throughout the year as a piecewise defined function of t.