EXAMPLE 5 Making a Linear Model from a Slope In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot- tom left corner. The red line in the figure is the edge of the trim board of the staircase. y (in.) A 40 (36, 32) (a) Find a linear function H that models the height of the trim board above the floor. 32 24 +(12, 16) (b) If the space available to build a staircase is 11 ft wide, how high does the stair- case reach? 16 12 24 36 48 60 x (in.) FIGURE 4 Slope of a staircase
EXAMPLE 5 Making a Linear Model from a Slope In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot- tom left corner. The red line in the figure is the edge of the trim board of the staircase. y (in.) A 40 (36, 32) (a) Find a linear function H that models the height of the trim board above the floor. 32 24 +(12, 16) (b) If the space available to build a staircase is 11 ft wide, how high does the stair- case reach? 16 12 24 36 48 60 x (in.) FIGURE 4 Slope of a staircase
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![EXAMPLE 5
Making a Linear Model from a Slope
In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot-
tom left corner. The red line in the figure is the edge of the trim board of the staircase.
y (in.) A
40
(36, 32)
(a) Find a linear function H that models the height of the trim board above the floor.
32
24 +(12, 16)
(b) If the space available to build a staircase is 11 ft wide, how high does the stair-
case reach?
16
12 24 36 48 60 x (in.)
FIGURE 4 Slope of a staircase](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a1fcb6c-9d7e-41ff-a732-22c5fa8f41ff%2F97acc7bd-0e3c-4043-a843-6cb0c36ed9f0%2F8tahxl6_processed.png&w=3840&q=75)
Transcribed Image Text:EXAMPLE 5
Making a Linear Model from a Slope
In Figure 4 we have placed a staircase in a coordinate plane, with the origin at the bot-
tom left corner. The red line in the figure is the edge of the trim board of the staircase.
y (in.) A
40
(36, 32)
(a) Find a linear function H that models the height of the trim board above the floor.
32
24 +(12, 16)
(b) If the space available to build a staircase is 11 ft wide, how high does the stair-
case reach?
16
12 24 36 48 60 x (in.)
FIGURE 4 Slope of a staircase
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