The area, A, in square feet, of the base of a rectangular storage bin in a warehouse, is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin.Part A: Which of the following statements would be TRUE?A. The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the width of the storage bin.B. The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the width of the storage bin.C. The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the length of the storage bin.D. The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the length of the storage bin.Activity 2 of 2Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.A(x) = -2x2 + 36x A(x)= -2(x – 9)2 + ___What is the missing value in the work shown?A. 162B. 81C. -81D. -162

Answered: The area, A, in square feet, of the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7

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The area, A, in square feet, of the base of a rectangular storage bin in a warehouse, is given by the function A(x) = -2x²+ 36x, where x is the width, in feet, of the storage bin.

Part A: Which of the following statements would be TRUE?

A. The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the width of the storage bin.
B. The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the width of the storage bin.
C. The x-intercepts of the function are 0 and 18, which are a lower bound and an upper bound for the possible values of the length of the storage bin.
D. The x-intercepts of the function are 0 and 8, which are a lower bound and an upper bound for the possible values of the length of the storage bin.

Activity 2 of 2

Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.

A(x) = -2x² + 36x

A(x)= -2(x – 9)² + ___

What is the missing value in the work shown?

A. 162
B. 81
C. -81
D. -162

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